Question

An integer triangle for representing the Bernoulli numbers

score 83 · Answer 1 · 2023-05-26 07:34:19

83

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An integer triangle for representing the Bernoulli numbers

Published on 26 May 2023 - 7:34

score 58 · Answer 2 · 2023-05-29 16:30:24

58

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What is the simple dependence of the diagonals (or columns) of the Faulhaber matrix on the first entry (Bernoulli numbers)?

Published on 29 May 2023 - 16:30

score 45 · Answer 3 · 2023-06-09 16:24:58

45

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Summation involving Bernoulli's numbers and Faulhaber's Formula

Published on 09 Jun 2023 - 16:24

score 35 · Answer 4 · 2023-06-15 19:54:23

35

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$p$-divisibility of consecutive Bernoulli numbers

Published on 15 Jun 2023 - 19:54

score 89 · Answer 5 · 2023-07-02 08:10:29

89

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Closed form for $\sum_{n=1}^{\infty}\frac{(2\log\phi)^{2n+3}B_{2n}}{2n(2n+3)!}$

Published on 02 Jul 2023 - 8:10

score 85 · Answer 6 · 2026-03-25 07:36:49

85

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Maclaurin series without Bernoulli or Euler numbers?

Published on 25 Mar 2026 - 7:36

score 38 · Answer 7 · 2023-08-11 11:40:07

38

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Search for a geometrical way to calculate the summations $\sum_{k=1}^n k^p$ ($p=1,2,3...$)

Published on 11 Aug 2023 - 11:40

score 89 · Answer 8 · 2023-09-02 17:41:38

89

Views

Summation $\sum_{k=0}^{\lfloor\frac{n-1}{2}\rfloor}\frac{1}{\alpha^{2k+1}}\frac{B_{2k+2}}{\left(n-2k\right)!\left(2k+2\right)!}$

Published on 02 Sep 2023 - 17:41

score 53 · Answer 9 · 2023-09-03 08:46:43

53

Views

A sum involving Bernoulli numbers and product of binomial coefficients

Published on 03 Sep 2023 - 8:46

score 149 · Answer 10 · 2023-09-15 13:52:28

149

Views

Value of the Riemann Zeta Function for negative integers

Published on 15 Sep 2023 - 13:52

score 81 · Answer 11 · 2023-10-05 16:33:07

81

Views

The efficient computation of the zeta function at even integers

Published on 05 Oct 2023 - 16:33

score 189 · Answer 12 · 2023-10-28 20:34:10

189

Views

Is there a closed sum to the following series?

Published on 28 Oct 2023 - 20:34

score 57 · Answer 13 · 2026-03-25 21:49:40

57

Views

$\zeta(s)=\frac{(-1)^{1-s}B_{1-s}}{s-1}$ by Ramanujan's Master Theorem

Published on 25 Mar 2026 - 21:49

score 59 · Answer 14 · 2024-02-11 23:41:00

59

Views

Analytic continuation of Bernoulli numbers: $B_{1/2}$?

Published on 11 Feb 2024 - 23:41

score 23 · Answer 15 · 2024-03-29 15:02:54

23

Views

Finding the average amount of iterations for choosing a unique set out of a group of numbers with replacement

Published on 29 Mar 2024 - 15:02

List Question

An integer triangle for representing the Bernoulli numbers

What is the simple dependence of the diagonals (or columns) of the Faulhaber matrix on the first entry (Bernoulli numbers)?

Summation involving Bernoulli's numbers and Faulhaber's Formula

$p$-divisibility of consecutive Bernoulli numbers

Closed form for $\sum_{n=1}^{\infty}\frac{(2\log\phi)^{2n+3}B_{2n}}{2n(2n+3)!}$

Maclaurin series without Bernoulli or Euler numbers?

Search for a geometrical way to calculate the summations $\sum_{k=1}^n k^p$ ($p=1,2,3...$)

Summation $\sum_{k=0}^{\lfloor\frac{n-1}{2}\rfloor}\frac{1}{\alpha^{2k+1}}\frac{B_{2k+2}}{\left(n-2k\right)!\left(2k+2\right)!}$

A sum involving Bernoulli numbers and product of binomial coefficients

Value of the Riemann Zeta Function for negative integers

The efficient computation of the zeta function at even integers

Is there a closed sum to the following series?

$\zeta(s)=\frac{(-1)^{1-s}B_{1-s}}{s-1}$ by Ramanujan's Master Theorem

Analytic continuation of Bernoulli numbers: $B_{1/2}$?

Finding the average amount of iterations for choosing a unique set out of a group of numbers with replacement

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