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A258369 Stirling-Bernoulli transform of A027656. 1
1, 1, 5, 25, 173, 1441, 14165, 160105, 2044733, 29105521, 456781925, 7834208185, 145760370893, 2923764916801, 62891469229685, 1444055265984265, 35250519098274653, 911569049328779281, 24893164161460525445, 715822742720760256345, 21620050147748210572013 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

Also called Akiyama-Tanigawa transform of A027656.

LINKS

Table of n, a(n) for n=0..20.

FORMULA

a(n) = Sum_{k = 0..n} A163626(n,k)*A027656(k).

a(n) = Sum_{k>=0} A249163(n,k) * (k+1).

E.g.f.: 1/(exp(x)*(2 - exp(x))^2).

a(n) ~ n! * n / (8 * (log(2))^(n+2)). - Vaclav Kotesovec, Jul 01 2018

EXAMPLE

a(0) = 1*1 = 1.

a(1) = 1*1 = 1.

a(2) = 1*1 + 2*2 = 5.

a(3) = 1*1 + 12*2 = 25.

a(4) = 1*1 + 50*2 + 24*3 = 173.

CROSSREFS

Cf. A027656, A163626, A249163.

Sequence in context: A109793 A112242 A035341 * A137383 A049035 A047897

Adjacent sequences:  A258366 A258367 A258368 * A258370 A258371 A258372

KEYWORD

nonn,easy

AUTHOR

Philippe Deléham, May 28 2015

STATUS

approved

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Last modified October 16 11:11 EDT 2019. Contains 328056 sequences. (Running on oeis4.)