The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A091695

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Showing entries 1-10 | older changes

A091695

Expansion of e.g.f. exp(x/(1-x)^3).
(history; published version)

#20 by Michael De Vlieger at Tue Mar 07 10:37:20 EST 2023

STATUS

proposed

approved

#19 by Seiichi Manyama at Tue Mar 07 08:19:20 EST 2023

STATUS

editing

proposed

#18 by Seiichi Manyama at Tue Mar 07 00:00:19 EST 2023

NAME

EExpansion of e.g.f.: exp(x/(1-x)^3).

CROSSREFS

Column k=3 of A293012.

#17 by Seiichi Manyama at Mon Mar 06 23:59:21 EST 2023

FORMULA

a(n) = n! * Sum_{k=0..n} binomial(n+2*k-1,n-k)/k!. - Seiichi Manyama, Mar 06 2023

STATUS

approved

editing

#16 by Joerg Arndt at Fri Sep 29 11:38:08 EDT 2017

STATUS

proposed

approved

#15 by Seiichi Manyama at Fri Sep 29 11:28:15 EDT 2017

STATUS

editing

proposed

#14 by Seiichi Manyama at Fri Sep 29 11:11:07 EDT 2017

LINKS

Seiichi Manyama, <a href="/A091695/b091695.txt">Table of n, a(n) for n = 0..422</a>

STATUS

approved

editing

#13 by Bruno Berselli at Thu Jun 27 05:45:25 EDT 2013

STATUS

proposed

approved

#12 by Vaclav Kotesovec at Thu Jun 27 05:43:50 EDT 2013

STATUS

editing

proposed

#11 by Vaclav Kotesovec at Thu Jun 27 05:43:36 EDT 2013

FORMULA

a(n) ~ 1/2*exp(-1/27-n^(1/4)*3^(3/4)/72+sqrt(3*n)/6+4/3*n^(3/4)*3^(1/4)-n)*3^(1/8)*n^(n-1/8). - Vaclav Kotesovec, Jun 27 2013

MATHEMATICA

CoefficientList[Series[E^(x/(1-x)^3), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 27 2013 *)

STATUS

approved

editing