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, 7, 1653, 40206186, 208933247676473, 395488498710726039573053, 415462449496430820816987469491515317, 342970299885886953080843975129290159101335513911582, 299220423631045059715652854654572624968209204858890842067137945793201

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