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 A365973 Expansion of e.g.f. exp( Sum_{k>=0} x^(4*k+3) / (4*k+3) ). 1
 1, 0, 0, 2, 0, 0, 40, 720, 0, 2240, 172800, 3628800, 246400, 49420800, 3531340800, 87223136000, 18450432000, 3006222336000, 225434879488000, 6411312940032000, 2744461025280000, 435228787435520000, 35074217524469760000, 1126838040745697280000 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 LINKS Table of n, a(n) for n=0..23. FORMULA a(0) = 1; a(n) = (n-1)! * Sum_{k=0..floor((n-3)/4)} a(n-4*k-3)/(n-4*k-3)!. PROG (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp(sum(k=0, N\4, x^(4*k+3)/(4*k+3))))) CROSSREFS Cf. A038205, A130915, A365974. Cf. A365981. Sequence in context: A365974 A013369 A013416 * A156433 A169771 A365982 Adjacent sequences: A365970 A365971 A365972 * A365974 A365975 A365976 KEYWORD nonn AUTHOR Seiichi Manyama, Sep 23 2023 STATUS approved

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Last modified August 5 17:42 EDT 2024. Contains 374953 sequences. (Running on oeis4.)