Sequencer | StrangerCoug's turn

[Plotinus]

The dates need to work in both mm/dd and dd/mm format, so 215 can be 2/15 or 21/5 but the others don't work:

176 can be 17th June but it can't be January 76th or 17th month 6th day
271 can be 27th January but it can't be February 71st or 27th month 1st day
199 can be 19th September but it can't be January 99th or 19th month 9th day

Do you want to play 215 to the date thing or do you want to do something else?

[Not_Mafia]

Read both as either I’m a dumbfuck, I’ll just play the one number

[Plotinus]

Spoiler: completed sequences

• [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  
• [78, 126, 336, 348, 192, 315, 123] {
  n is composite and n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i is composite; a_i ≥ 0, d > 0; k ∈ ℤ
  } composite numbers whose digit sum is composite
  
• [55, 226, 253, 190, 19, 352, 334] {
  n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i = 10; a_i ≥ 0, d > 0; k ∈ ℤ
  } numbers whose digit sum equals 10
  
• [3, 7, 229, 5, 179, 17, 137] primes
  
• [25, 44, 63, 365, 52, 62, 88, 175] {
  i % (i % 10) == 0
  } Numbers divisible by their last digit
  
• [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  
• [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  
• [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  
• [234, 342, 356, 140, 173, 200, 280, 299] {
  n = 100×a + 10×b + c with c < a + b
  } 3 digit numbers where the last digit is less than the sum of the first two digits
  
• [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  
• [174, 118, 274, 232, 316, 180, 358 ] {
  2 | n ∧ n ≥ 100
  } 3 digit even numbers
  
• [48, 135, 306, 40, 84, 132, 243] {
  k² | n, k > 1
  } numbers that are divisible by a perfect square greater than one

Topology: Micc, Not Mafia: 32 points

• [191, 359, 305] {
  n > 100 ∧ n % 2 = 1
  } 3 digit odd numbers

Measure: StrangerCoug, vincentw: 31 points

• [134, 146, 248] {
  n = 100*a + 10*b + c with 0 < a < b < c < 10
  } 3 digit numbers whose digits are in strictly ascending order
  
• [125, 270, 320, 30] {
  2ⁱ×3^j×5^k with i, j, k ≥ 0
  } 5-smooth numbers
  
• [116, 217, 219, 215] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero

Dynamics: lilith2013, skitter30: 28 points

It is

vincentw

's turn

[vincentw]

A throwback to the first bingo: play 120, 143, and 194 as numbers within 2 of a perfect square.

[Plotinus]

Spoiler: completed sequences

• [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  
• [78, 126, 336, 348, 192, 315, 123] {
  n is composite and n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i is composite; a_i ≥ 0, d > 0; k ∈ ℤ
  } composite numbers whose digit sum is composite
  
• [55, 226, 253, 190, 19, 352, 334] {
  n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i = 10; a_i ≥ 0, d > 0; k ∈ ℤ
  } numbers whose digit sum equals 10
  
• [3, 7, 229, 5, 179, 17, 137] primes
  
• [25, 44, 63, 365, 52, 62, 88, 175] {
  i % (i % 10) == 0
  } Numbers divisible by their last digit
  
• [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  
• [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  
• [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  
• [234, 342, 356, 140, 173, 200, 280, 299] {
  n = 100×a + 10×b + c with c < a + b
  } 3 digit numbers where the last digit is less than the sum of the first two digits
  
• [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  
• [174, 118, 274, 232, 316, 180, 358 ] {
  2 | n ∧ n ≥ 100
  } 3 digit even numbers
  
• [48, 135, 306, 40, 84, 132, 243] {
  k² | n, k > 1
  } numbers that are divisible by a perfect square greater than one

Topology: Micc, Not Mafia: 32 points

• [191, 359, 305] {
  n > 100 ∧ n % 2 = 1
  } 3 digit odd numbers

Measure: StrangerCoug, vincentw: 31 points

• [134, 146, 248] {
  n = 100*a + 10*b + c with 0 < a < b < c < 10
  } 3 digit numbers whose digits are in strictly ascending order
  
• [125, 270, 320, 30] {
  2ⁱ×3^j×5^k with i, j, k ≥ 0
  } 5-smooth numbers
  
• [116, 217, 219, 215] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  
• [120, 143, 194] {
  n ∈ [k² - 2, k² + 2], k ∈ ℤ
  numbers within 2 of a perfect square

Dynamics: lilith2013, skitter30: 28 points

It is

skitter30

's turn

[skitter30]

235, 268, 242

numbers with a two-digit prime factor
235 (47 * 5)
268 (67 * 4)
242 (11 * 11 * 2)

[Plotinus]

Spoiler: completed sequences

• [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  
• [78, 126, 336, 348, 192, 315, 123] {
  n is composite and n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i is composite; a_i ≥ 0, d > 0; k ∈ ℤ
  } composite numbers whose digit sum is composite
  
• [55, 226, 253, 190, 19, 352, 334] {
  n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i = 10; a_i ≥ 0, d > 0; k ∈ ℤ
  } numbers whose digit sum equals 10
  
• [3, 7, 229, 5, 179, 17, 137] primes
  
• [25, 44, 63, 365, 52, 62, 88, 175] {
  i % (i % 10) == 0
  } Numbers divisible by their last digit
  
• [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  
• [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  
• [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  
• [234, 342, 356, 140, 173, 200, 280, 299] {
  n = 100×a + 10×b + c with c < a + b
  } 3 digit numbers where the last digit is less than the sum of the first two digits
  
• [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  
• [174, 118, 274, 232, 316, 180, 358 ] {
  2 | n ∧ n ≥ 100
  } 3 digit even numbers
  
• [48, 135, 306, 40, 84, 132, 243] {
  k² | n, k > 1
  } numbers that are divisible by a perfect square greater than one

Topology: Micc, Not Mafia: 32 points

• [191, 359, 305] {
  n > 100 ∧ n % 2 = 1
  } 3 digit odd numbers

Measure: StrangerCoug, vincentw: 31 points

• [134, 146, 248] {
  n = 100*a + 10*b + c with 0 < a < b < c < 10
  } 3 digit numbers whose digits are in strictly ascending order
  
• [125, 270, 320, 30] {
  2ⁱ×3^j×5^k with i, j, k ≥ 0
  } 5-smooth numbers
  
• [116, 217, 219, 215] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  
• [120, 143, 194] {
  n ∈ [k² - 2, k² + 2], k ∈ ℤ
  numbers within 2 of a perfect square

Dynamics: lilith2013, skitter30: 28 points

• [235, 242, 268] numbers with a 2-digit prime factor

It is

Micc

's turn

[Micc]

256 (37*7)
22 (11*2)
34 (17*2)
195 (13*5*3)
97 (97*1)

Not 100% sure that 97 fits within the spirit of skitter's sequence. I'll play the first four for sure and also 97 if two digit primes are allowed.

[StrangerCoug]

45, 100, 150 to finish off the 5-smooth numbers

[StrangerCoug]

Oh, and...

256 (37*7)

37 × 7 = 259, not 256. Did you make a typo?

[Micc]

Yeah that’s a typo. I do have 259 not 256 so my play still works.

[Plotinus]

Spoiler: completed sequences

• [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  
• [78, 126, 336, 348, 192, 315, 123] {
  n is composite and n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i is composite; a_i ≥ 0, d > 0; k ∈ ℤ
  } composite numbers whose digit sum is composite
  
• [55, 226, 253, 190, 19, 352, 334] {
  n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i = 10; a_i ≥ 0, d > 0; k ∈ ℤ
  } numbers whose digit sum equals 10
  
• [3, 7, 229, 5, 179, 17, 137] primes
  
• [25, 44, 63, 365, 52, 62, 88, 175] {
  i % (i % 10) == 0
  } Numbers divisible by their last digit
  
• [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  
• [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  
• [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  
• [234, 342, 356, 140, 173, 200, 280, 299] {
  n = 100×a + 10×b + c with c < a + b
  } 3 digit numbers where the last digit is less than the sum of the first two digits
  
• [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  
• [174, 118, 274, 232, 316, 180, 358 ] {
  2 | n ∧ n ≥ 100
  } 3 digit even numbers
  
• [48, 135, 306, 40, 84, 132, 243] {
  k² | n, k > 1
  } numbers that are divisible by a perfect square greater than one
  
• [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  
• [125, 270, 320, 30, 45, 100, 150] {
  2ⁱ×3^j×5^k with i, j, k ≥ 0
  } 5-smooth numbers

Topology: Micc, Not Mafia: 40 points

• [191, 359, 305] {
  n > 100 ∧ n % 2 = 1
  } 3 digit odd numbers

Measure: StrangerCoug, vincentw: 38 points

• [134, 146, 248] {
  n = 100*a + 10*b + c with 0 < a < b < c < 10
  } 3 digit numbers whose digits are in strictly ascending order
  
• [116, 217, 219, 215] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  
• [120, 143, 194] {
  n ∈ [k² - 2, k² + 2], k ∈ ℤ
  numbers within 2 of a perfect square

Dynamics: lilith2013, skitter30: 28 points

It is

lilith2013

's turn

[Micc]

Going V/LA this weekend, and will be back Monday, 5/25.

[lilith2013]

Play 37, 53, 67 as a sequence of prime numbers

[Plotinus]

We've had primes already this round, but you can go again

[lilith2013]

Oh I didn’t realize sequences couldn’t be repeated, sorry.

Play 37, 53, 75 as numbers that only have odd digits

[Plotinus]

Spoiler: completed sequences

• [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  
• [78, 126, 336, 348, 192, 315, 123] {
  n is composite and n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i is composite; a_i ≥ 0, d > 0; k ∈ ℤ
  } composite numbers whose digit sum is composite
  
• [55, 226, 253, 190, 19, 352, 334] {
  n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i = 10; a_i ≥ 0, d > 0; k ∈ ℤ
  } numbers whose digit sum equals 10
  
• [3, 7, 229, 5, 179, 17, 137] primes
  
• [25, 44, 63, 365, 52, 62, 88, 175] {
  i % (i % 10) == 0
  } Numbers divisible by their last digit
  
• [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  
• [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  
• [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  
• [234, 342, 356, 140, 173, 200, 280, 299] {
  n = 100×a + 10×b + c with c < a + b
  } 3 digit numbers where the last digit is less than the sum of the first two digits
  
• [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  
• [174, 118, 274, 232, 316, 180, 358 ] {
  2 | n ∧ n ≥ 100
  } 3 digit even numbers
  
• [48, 135, 306, 40, 84, 132, 243] {
  k² | n, k > 1
  } numbers that are divisible by a perfect square greater than one
  
• [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  
• [125, 270, 320, 30, 45, 100, 150] {
  2ⁱ×3^j×5^k with i, j, k ≥ 0
  } 5-smooth numbers

Topology: Micc, Not_Mafia: 40 points

• [191, 359, 305] {
  n > 100 ∧ n % 2 = 1
  } 3 digit odd numbers

Measure: StrangerCoug, vincentw: 38 points

• [134, 146, 248] {
  n = 100*a + 10*b + c with 0 < a < b < c < 10
  } 3 digit numbers whose digits are in strictly ascending order
  
• [116, 217, 219, 215] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  
• [120, 143, 194] {
  n ∈ [k² - 2, k² + 2], k ∈ ℤ
  numbers within 2 of a perfect square

Dynamics: lilith2013, skitter30: 28 points

• [37, 53, 75 ] all digits are odd

It is

Not_Mafia

's turn

[Not_Mafia]

Add 20, 56, 60 to 2 digit numbers

[vincentw]

Add 238 to the strictly ascending sequence.

[skitter30]

multiple of 27

81, 189, 216, 324

[skitter30]

actually i don't have 216, scratch that, but keep the others

[Plotinus]

Spoiler: completed sequences

• [54, 183, 272, 313, 115, 182, 278, 218 ] Numbers where you can ignore 1 digit and use mathematical operators on the remaining digits to get 4
  
• [78, 126, 336, 348, 192, 315, 123] {
  n is composite and n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i is composite; a_i ≥ 0, d > 0; k ∈ ℤ
  } composite numbers whose digit sum is composite
  
• [55, 226, 253, 190, 19, 352, 334] {
  n = a₀10^d + a₁10^d-1 + ... + a_d10⁰ with Σ_i∈[0,d]a_i = 10; a_i ≥ 0, d > 0; k ∈ ℤ
  } numbers whose digit sum equals 10
  
• [3, 7, 229, 5, 179, 17, 137] primes
  
• [25, 44, 63, 365, 52, 62, 88, 175] {
  i % (i % 10) == 0
  } Numbers divisible by their last digit
  
• [166, 337, 333, 112, 311, 155, 144, 338] Numbers with at least one immediately repeating digit
  
• [1, 4, 43, 141, 301, 302, 341] have four or fewer factors
  
• [90, 322, 303, 329, 136, 210, 149, 228, 38, 188] numbers that are composite after removing the smallest digit
  
• [234, 342, 356, 140, 173, 200, 280, 299] {
  n = 100×a + 10×b + c with c < a + b
  } 3 digit numbers where the last digit is less than the sum of the first two digits
  
• [39, 86, 261, 32, 33, 76, 93] can be spelled digit by digit with ten or fewer letters in English, no leading zeroes, 0 is spelled as zero
  
• [174, 118, 274, 232, 316, 180, 358 ] {
  2 | n ∧ n ≥ 100
  } 3 digit even numbers
  
• [48, 135, 306, 40, 84, 132, 243] {
  k² | n, k > 1
  } numbers that are divisible by a perfect square greater than one
  
• [235, 242, 268, 259, 22, 34, 195, 97] numbers with a 2-digit prime factor
  
• [125, 270, 320, 30, 45, 100, 150] {
  2ⁱ×3^j×5^k with i, j, k ≥ 0
  } 5-smooth numbers

Topology: Micc, Not_Mafia: 40 points

• [191, 359, 305] {
  n > 100 ∧ n % 2 = 1
  } 3 digit odd numbers
  
• [20, 56, 60] {
  9 < n < 100
  2 digit numbers

Measure: StrangerCoug, vincentw: 38 points

• [134, 146, 238, 248] {
  n = 100*a + 10*b + c with 0 < a < b < c < 10
  } 3 digit numbers whose digits are in strictly ascending order
  
• [116, 217, 219, 215] Three digit numbers in which you can draw a date separator between two digits and get a valid date in both month/day and day/month format (not necessarily with the separator in the same place)—the separator must follow, not precede, a medial zero
  
• [120, 143, 194] {
  n ∈ [k² - 2, k² + 2], k ∈ ℤ
  numbers within 2 of a perfect square

Dynamics: lilith2013, skitter30: 28 points

• [37, 53, 75 ] all digits are odd
  
• [81, 189, 324] {
  27 | n
  } multiples of 27

It is

Micc

's turn

Micc is V/LA until the 25th, that's not too long so I think we can wait.

Though we could discuss whether, if someone is V/LA and doesn't move for 48 (or 72?) hours, do we want me to play the leftmost card to the topmost sequence or should that only be for replacements.

[Plotinus]

I think 72 hours would be better for auto-moving during V/LAs because I know skitter has a weekly V/LA for the Sabbath. I wouldn't want a V/LA rule to affect her disproportionately. I have a similar rule of giving people extra (but not unlimited) time while V/LA in my mafia games that works fairly well.

[StrangerCoug]

72 hours is good

[skitter30]

I think 72 hours would be better for auto-moving during V/LAs because I know skitter has a weekly V/LA for the Sabbath. I wouldn't want a V/LA rule to affect her disproportionately. I have a similar rule of giving people extra (but not unlimited) time while V/LA in my mafia games that works fairly well.

thanks, i appreciate it