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 A357666 Expansion of e.g.f. sinh( (exp(4*x) - 1)/2 )/2. 3
 0, 1, 4, 20, 160, 1872, 25024, 348224, 5055488, 78571776, 1332573184, 24695206912, 493816963072, 10492449771520, 234399640633344, 5480635606908928, 134015043318054912, 3427700843478056960, 91642829715498336256, 2556218693498006929408 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS FORMULA a(n) = Sum_{k=0..floor((n-1)/2)} 4^(n-1-k) * Stirling2(n,2*k+1). PROG (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)); CROSSREFS 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 KEYWORD nonn AUTHOR Seiichi Manyama, Oct 07 2022 STATUS approved

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Last modified February 3 15:09 EST 2023. Contains 360035 sequences. (Running on oeis4.)