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A107403 E.g.f. = 1/(1-3*sinh(x)) 1
1, 3, 18, 165, 2016, 30783, 564048, 12057825, 294587136, 8096756763, 247266851328, 8306410495485, 304403359942656, 12085026305182743, 516690458532292608, 23668814542820609145, 1156515067746149400576 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n) ~ n!/(sqrt(10)*(log(1/3+sqrt(10)/3))^(n+1)). - Vaclav Kotesovec, Jun 26 2013

MAPLE

E(x):=1/(1-3*sinh(x)): f[0]:=E(x): for n from 1 to 30 do f[n]:=diff(f[n-1], x) od: x:=0: seq(f[n], n=0..30);

MATHEMATICA

CoefficientList[Series[1/(1-3*Sinh[x]), {x, 0, 20}], x]* Range[0, 20]! (* Vaclav Kotesovec, Jun 26 2013 *)

CROSSREFS

Cf. A000557.

Sequence in context: A127646 A089466 A302585 * A319938 A053513 A138211

Adjacent sequences:  A107400 A107401 A107402 * A107404 A107405 A107406

KEYWORD

nonn

AUTHOR

Miklos Kristof, Jun 09 2005

STATUS

approved

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Last modified November 19 22:34 EST 2019. Contains 329323 sequences. (Running on oeis4.)