A101480 - OEIS

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A101480

E.g.f. (1/cosh(x)+tanh(x))*(exp(2*x)-exp(-x))/3.

0, 1, 3, 3, 3, 11, 63, 43, -837, 171, 34023, 683, -1800477, 2731, 132912783, 10923, -12927652917, 43691, 1603253204343, 174763, -246914125142157, 699051, 46232582930156703, 2796203, -10343022775699132197, 11184811, 2724715006195438297863, 44739243, -834839760935753154167037

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OFFSET

0,3

COMMENTS

A transform of the Jacobsthal numbers.

a(2n)=A007583(n)=(2*4^n+1)/3.

LINKS

Table of n, a(n) for n=0..28.

MATHEMATICA

With[{nn=30}, CoefficientList[Series[(1/Cosh[x]+Tanh[x]) (Exp[2x]- Exp[-x])/3, {x, 0, nn}], x]Range[0, nn]!] (* Harvey P. Dale, Aug 22 2012 *)

CROSSREFS

Cf. A101473, A001045.