The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A060311 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A060311

Expansion of e.g.f. exp((exp(x)-1)^2/2).
(history; published version)

#47 by Michael De Vlieger at Sun May 08 08:24:47 EDT 2022

STATUS

reviewed

approved

#46 by Joerg Arndt at Sun May 08 02:41:37 EDT 2022

STATUS

proposed

reviewed

#45 by Michel Marcus at Sun May 08 02:00:18 EDT 2022

STATUS

editing

proposed

#44 by Michel Marcus at Sun May 08 01:59:59 EDT 2022

LINKS

P. Paul Barry, <a href="https://cs.uwaterloo.ca/journals/JIS/VOL17/Barry2/barry281.html">Constructing Exponential Riordan Arrays from Their A and Z Sequences</a>, Journal of Integer Sequences, 17 (2014), #14.2.6.

STATUS

proposed

editing

#43 by Seiichi Manyama at Sun May 08 01:27:22 EDT 2022

STATUS

editing

proposed

#42 by Seiichi Manyama at Sat May 07 14:01:13 EDT 2022

NAME

EExpansion of e.g.f.: exp((exp(x)-1)^2/2).

#41 by Seiichi Manyama at Sat May 07 13:32:05 EDT 2022

PROG

(PARI) a(n) = sum(k=0, n\2, (2*k)!*stirling(n, 2*k, 2)/(2^k*k!)); \\ Seiichi Manyama, May 07 2022

#40 by Seiichi Manyama at Sat May 07 13:29:16 EDT 2022

FORMULA

a(n) = Sum_{k=0..floor(n/2)} (2*k)! * Stirling2(n,2*k)/(2^k * k!). - Seiichi Manyama, May 07 2022

CROSSREFS

Cf. A052859, A330047.

STATUS

approved

editing

#39 by Alois P. Heinz at Mon Sep 02 21:00:21 EDT 2019

STATUS

editing

approved

#38 by Alois P. Heinz at Mon Sep 02 21:00:19 EDT 2019

MAPLE

*binomial(n-1, j-1)*Stirling2(j, 2), j=12..n))

STATUS

approved

editing