A091906 E.g.f.: exp(1-sqrt(3-2*exp(x))).

1, 1, 3, 14, 94, 842, 9519, 130482, 2105618, 39124431, 822878381, 19327882796, 501494558195, 14245978068064, 439754047318837, 14657503897927947, 524655050276784041, 20072230656725277199, 817381577168986757486

Offset

0,3

Links

Table of n, a(n) for n=0..18.

Formula

a(n) ~ sqrt(3/2)*n^(n-1)/(exp(n-1)*(log(3/2))^(n-1/2)). - Vaclav Kotesovec, Jun 27 2013

Mathematica

CoefficientList[Series[E^(1-Sqrt[3-2*E^x]), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 27 2013 *)

Crossrefs

Sequence in context: A358118 A364629 A074531 * A214378 A094369 A005772

Adjacent sequences: A091903 A091904 A091905 * A091907 A091908 A091909

Keyword

nonn

Author

Karol A. Penson, Feb 10 2004

Extensions

Prepended a(0)=1 from Vaclav Kotesovec, Nov 17 2015

Status

approved