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 A353893 Expansion of e.g.f. exp( (x * log(1-x))^4 / 576 ). 3
 1, 0, 0, 0, 0, 0, 0, 0, 70, 1260, 17850, 242550, 3350655, 48108060, 724403680, 11478967500, 191601229820, 3367499575440, 62253354650760, 1208755315895400, 24611454394536780, 524613603866302440, 11687734234226039220, 271715852337632107020 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,9 LINKS Table of n, a(n) for n=0..23. FORMULA a(n) = n! * Sum_{k=0..floor(n/8)} (4*k)! * |Stirling1(n-4*k,4*k)|/(576^k * k! * (n-4*k)!). PROG (PARI) my(N=30, x='x+O('x^N)); Vec(serlaplace(exp((x*log(1-x))^4/576))) (PARI) a(n) = n!*sum(k=0, n\8, (4*k)!*abs(stirling(n-4*k, 4*k, 1))/(576^k*k!*(n-4*k)!)); CROSSREFS Cf. A066166, A353891, A353892. Cf. A347003, A353882, A353896. Sequence in context: A361610 A353896 A353885 * A353882 A061606 A331351 Adjacent sequences: A353890 A353891 A353892 * A353894 A353895 A353896 KEYWORD nonn AUTHOR Seiichi Manyama, May 09 2022 STATUS approved

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Last modified March 3 06:28 EST 2024. Contains 370499 sequences. (Running on oeis4.)