Question

A conjectured formula for the polylogarithm of a negative integer order

score 113 · Answer 1 · 2026-03-24 23:43:21

113

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A conjectured formula for the polylogarithm of a negative integer order

Published on 24 Mar 2026 - 23:43

score 55 · Answer 2 · 2026-03-25 13:57:51

55

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Probability of Two Different and Specific Dice Rolls (2-12) in 3 chances. EX: a 7 and a 6

Published on 25 Mar 2026 - 13:57

score 57 · Answer 3 · 2026-03-26 04:34:20

57

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Proving the Hockey Stick Identity with the Summation Identity

Published on 26 Mar 2026 - 4:34

score 228 · Answer 4 · 2018-06-04 13:38:04

228

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How to prove the binomial identity $\binom{n}{r - 1} + 2\binom{n}{r} + \binom{n}{r + 1} = \binom{n + 2}{r + 1}$?

Published on 04 Jun 2018 - 13:38

score 523 · Answer 5 · 2026-03-26 06:20:34

523

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Generate a row of a modified Pascal's triangle.

Published on 26 Mar 2026 - 6:20

score 76 · Answer 6 · 2018-06-05 12:22:57

76

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Find a short expression for the long sum

Published on 05 Jun 2018 - 12:22

score 282 · Answer 7 · 2018-06-05 21:55:47

282

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Asymptotics of $e^{-n}\sum_{k=0}^{n-1}\frac{n^k}{k!}\cdot\frac1{n-k}$

Published on 05 Jun 2018 - 21:55

score 309 · Answer 8 · 2026-03-25 15:57:17

309

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Spivak's Calculus: Proofs concerning Pascal's Triangle

Published on 25 Mar 2026 - 15:57

score 238 · Answer 9 · 2018-06-07 12:34:01

238

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Finding $\sum\limits_{k=0}^n|2k-n|\times\binom nk$

Published on 07 Jun 2018 - 12:34

score 109 · Answer 10 · 2018-06-09 11:13:00

109

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How to evaluate the finite sum.

Published on 09 Jun 2018 - 11:13

score 24 · Answer 11 · 2026-03-26 09:49:14

24

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People sequentially choose one box among $n$ identical boxes

Published on 26 Mar 2026 - 9:49

score 252 · Answer 12 · 2026-03-26 04:30:42

252

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How can I prove the following equality?

Published on 26 Mar 2026 - 4:30

score 165 · Answer 13 · 2018-06-11 21:20:05

165

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In the formula $\frac{(x+y)^n}{x}=\sum_{k=0}^n\binom{n}{k}(x-ak)^{k-1}(y+ak)^{n-k}$, what is $a$? What is this formula named?

Published on 11 Jun 2018 - 21:20

score 684 · Answer 14 · 2026-03-26 04:37:58

684

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Proving $\sum\limits_{k=0}^{\infty}\binom {m-r+s}k\binom {n+r-s}{n-k}\binom {r+k}{m+n}=\binom rm\binom sn$

Published on 26 Mar 2026 - 4:37

score 45 · Answer 15 · 2018-06-12 09:01:39

45

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An expression like newton's binomial

Published on 12 Jun 2018 - 9:01

List Question

A conjectured formula for the polylogarithm of a negative integer order

Probability of Two Different and Specific Dice Rolls (2-12) in 3 chances. EX: a 7 and a 6

Proving the Hockey Stick Identity with the Summation Identity

How to prove the binomial identity $\binom{n}{r - 1} + 2\binom{n}{r} + \binom{n}{r + 1} = \binom{n + 2}{r + 1}$?

Generate a row of a modified Pascal's triangle.

Find a short expression for the long sum

Asymptotics of $e^{-n}\sum_{k=0}^{n-1}\frac{n^k}{k!}\cdot\frac1{n-k}$

Spivak's Calculus: Proofs concerning Pascal's Triangle

Finding $\sum\limits_{k=0}^n|2k-n|\times\binom nk$

How to evaluate the finite sum.

People sequentially choose one box among $n$ identical boxes

How can I prove the following equality?

In the formula $\frac{(x+y)^n}{x}=\sum_{k=0}^n\binom{n}{k}(x-ak)^{k-1}(y+ak)^{n-k}$, what is $a$? What is this formula named?

Proving $\sum\limits_{k=0}^{\infty}\binom {m-r+s}k\binom {n+r-s}{n-k}\binom {r+k}{m+n}=\binom rm\binom sn$

An expression like newton's binomial

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