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A357666
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Expansion of e.g.f. sinh( (exp(4*x) - 1)/2 )/2.
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3
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0, 1, 4, 20, 160, 1872, 25024, 348224, 5055488, 78571776, 1332573184, 24695206912, 493816963072, 10492449771520, 234399640633344, 5480635606908928, 134015043318054912, 3427700843478056960, 91642829715498336256, 2556218693498006929408
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..19.
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FORMULA
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a(n) = Sum_{k=0..floor((n-1)/2)} 4^(n-1-k) * Stirling2(n,2*k+1).
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PROG
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(PARI) my(N=20, x='x+O('x^N)); concat(0, Vec(serlaplace(sinh((exp(4*x)-1)/2)/2)))
(PARI) a(n) = sum(k=0, (n-1)\2, 4^(n-1-k)*stirling(n, 2*k+1, 2));
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CROSSREFS
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Cf. A024429, A357664, A357665.
Cf. A357598, A357617, A357663.
Sequence in context: A094651 A065526 A032333 * A068965 A185672 A210438
Adjacent sequences: A357663 A357664 A357665 * A357667 A357668 A357669
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KEYWORD
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nonn
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AUTHOR
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Seiichi Manyama, Oct 07 2022
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STATUS
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approved
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