The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A154537 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A154537

Triangle T(n,m) read by rows: let p(n,x) = exp(-x) * Sum_{m >= 0} (2*m + 1)^n * x^m/m!; then T(n,m) = [x^m] p(n,x).
(history; published version)

#48 by Michael De Vlieger at Thu Mar 14 15:31:38 EDT 2024

STATUS

reviewed

approved

#47 by Stefano Spezia at Thu Mar 14 15:30:26 EDT 2024

STATUS

proposed

reviewed

#46 by Michael De Vlieger at Thu Mar 14 15:29:31 EDT 2024

STATUS

editing

proposed

#45 by Michael De Vlieger at Thu Mar 14 15:29:30 EDT 2024

LINKS

Paweł Hitczenko, <a href="https://arxiv.org/abs/2403.03422">A class of polynomial recurrences resulting in (n/log n, n/log^2 n)-asymptotic normality</a>, arXiv:2403.03422 [math.CO], 2024. See p. 9.

STATUS

approved

editing

#44 by Michael De Vlieger at Sat Jun 10 08:09:56 EDT 2023

STATUS

reviewed

approved

#43 by Joerg Arndt at Sat Jun 10 03:04:16 EDT 2023

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proposed

reviewed

#42 by Joerg Arndt at Sat May 27 06:53:08 EDT 2023

STATUS

editing

proposed

#41 by Joerg Arndt at Sat May 27 06:52:10 EDT 2023

COMMENTS

A triangular sequence of coefficients related to Stirling numbers of the second kind: n-th row polynomial p(n,x) = exp(-x) * Sum_{m >= 0} (2*m + 1)^n*x^m/m!.

#40 by Joerg Arndt at Sat May 27 06:51:15 EDT 2023

LINKS

Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/DobinskisFormula.html"> Dobiński's formula</a>

STATUS

proposed

editing

#39 by Michel Marcus at Sat May 27 06:00:24 EDT 2023

STATUS

editing

proposed