The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A338979 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A338979

a(n) = Sum_{k=0..n} n^k * binomial(n,k) * Catalan(k).
(history; published version)

#30 by Vaclav Kotesovec at Sun Feb 14 08:05:05 EST 2021

STATUS

editing

approved

#29 by Vaclav Kotesovec at Sun Feb 14 08:04:59 EST 2021

FORMULA

a(n) ~ exp(1/4) * 4^n * n^(n - 3/2) / sqrt(Pi). - Vaclav Kotesovec, Feb 14 2021

STATUS

approved

editing

#28 by Alois P. Heinz at Tue Feb 02 16:40:06 EST 2021

STATUS

proposed

approved

#27 by Ilya Gutkovskiy at Tue Feb 02 09:43:55 EST 2021

STATUS

editing

proposed

#26 by Ilya Gutkovskiy at Tue Feb 02 09:29:34 EST 2021

FORMULA

a(n) = n! * [x^n] exp((2*n+1)*x) * (BesselI(0,2*n*x) - BesselI(1,2*n*x)). - Ilya Gutkovskiy, Feb 02 2021

STATUS

approved

editing

#25 by Joerg Arndt at Mon Feb 01 06:37:39 EST 2021

STATUS

proposed

approved

#24 by Seiichi Manyama at Mon Feb 01 05:13:33 EST 2021

STATUS

editing

proposed

#23 by Seiichi Manyama at Mon Feb 01 05:13:14 EST 2021

LINKS

Seiichi Manyama, <a href="/A338979/b338979.txt">Table of n, a(n) for n = 0..322</a>

#22 by Seiichi Manyama at Mon Feb 01 01:18:44 EST 2021

NAME

a(n) = Sum_{k=0..n} n^k * binomial(n, k) * Catalan(k).

STATUS

approved

editing

#21 by Susanna Cuyler at Sun Jan 31 12:32:58 EST 2021

STATUS

proposed

approved