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A352906
Expansion of e.g.f. sinh(x) / (1 - sin(x)).
0
0, 1, 2, 7, 24, 101, 472, 2507, 14784, 96361, 687392, 5332207, 44694144, 402663821, 3880880512, 39848805107, 434306095104, 5007757446481, 60907946680832, 779345606053207, 10465549612529664, 147168296199468341, 2162785172079204352, 33155700678534788507, 529311396083558989824
OFFSET
0,3
FORMULA
a(n) = Sum_{k=0..floor((n-1)/2)} binomial(n,2*k+1) * A000111(n-2*k).
a(n) ~ sinh(Pi/2) * 2^(n + 7/2) * n^(n + 3/2) / (exp(n) * Pi^(n + 3/2)). - Vaclav Kotesovec, Apr 07 2022
MATHEMATICA
nmax = 24; CoefficientList[Series[Sinh[x]/(1 - Sin[x]), {x, 0, nmax}], x] Range[0, nmax]!
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Apr 07 2022
STATUS
approved