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 A365896 Expansion of e.g.f. exp( Sum_{k>=0} x^(2*k+5) / (2*k+5)! ). 4
 1, 0, 0, 0, 0, 1, 0, 1, 0, 1, 126, 1, 792, 1, 3718, 126127, 15808, 2450449, 64702, 31593277, 489125360, 343746937, 21511079558, 3435303323, 588969369056, 5227461790937, 13006203613950, 434431246754441, 255046847579760, 21684989820772201, 128034458842091862 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,11 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..599 FORMULA a(0) = 1; a(n) = Sum_{k=0..floor((n-5)/2)} binomial(n-1,2*k+4) * a(n-2*k-5). E.g.f.: exp( -x - x^3/6 + sinh(x) ). PROG (PARI) my(N=40, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\2, x^(2*k+5)/(2*k+5)!)))) CROSSREFS Cf. A057814, A365897, A365898. Sequence in context: A365897 A050451 A059024 * A331401 A267199 A348898 Adjacent sequences: A365893 A365894 A365895 * A365897 A365898 A365899 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 22 2023 STATUS approved

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Last modified July 21 18:08 EDT 2024. Contains 374475 sequences. (Running on oeis4.)