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 A308441 a(n) = (1/n!) * Sum_{i=n..n^2} b(i) where Sum_{i=n..n^2} b(i) * x^i/i! = (Sum_{i=1..n} binomial(n-1,i-1)*x^i/i!)^n. 1
 1, 1, 7, 1653, 40206186, 208933247676473, 395488498710726039573053, 415462449496430820816987469491515317, 342970299885886953080843975129290159101335513911582, 299220423631045059715652854654572624968209204858890842067137945793201 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 LINKS Seiichi Manyama, Table of n, a(n) for n = 0..27 PROG (PARI) {a(n) = sum(i=n, n^2, i!*polcoef(sum(j=1, n, binomial(n-1, j-1)*x^j/j!)^n, i))/n!} CROSSREFS Cf. A308296, A321666. Sequence in context: A191957 A125537 A264742 * A220989 A284705 A203012 Adjacent sequences: A308438 A308439 A308440 * A308442 A308443 A308444 KEYWORD nonn AUTHOR Seiichi Manyama, May 27 2019 STATUS approved

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Last modified June 13 22:21 EDT 2024. Contains 373391 sequences. (Running on oeis4.)