A258369 Stirling-Bernoulli transform of A027656.

1, 1, 5, 25, 173, 1441, 14165, 160105, 2044733, 29105521, 456781925, 7834208185, 145760370893, 2923764916801, 62891469229685, 1444055265984265, 35250519098274653, 911569049328779281, 24893164161460525445, 715822742720760256345, 21620050147748210572013

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