A272645 a(n) = largest term in row n of array in A272644.

1, 1, 5, 13, 73, 301, 2069, 11581, 95401, 673261, 6487445, 55213453, 610093513, 6077248381, 75796724309, 864806272861, 12020754177001, 154546274524621, 2369364111428885, 33888536448984493, 568128719132038153, 8947078682269788061

Offset

2,3

Links

Gheorghe Coserea, Table of n, a(n) for n = 2..101

Irving Kaplansky and John Riordan, The problem of the rooks and its applications, Duke Mathematical Journal 13.2 (1946): 259-268. The array is on page 267.

Formula

See A272644.

Prog

(PARI)
A(n, m) = sum(i=0, m, stirling(m+1, i+1, 2) * (-1)^((m-i)%2) * i^(n - m) * i!);
apply(vecmax, vector(22, n, vector(n, m, A(n+1, m))))  \\ Gheorghe Coserea, May 16 2016

Crossrefs

Cf. A272644.

Sequence in context: A100209 A139361 A115329 * A137702 A140120 A303962

Adjacent sequences: A272642 A272643 A272644 * A272646 A272647 A272648

Keyword

nonn,easy

Author

N. J. A. Sloane, May 07 2016

Extensions

More terms from Gheorghe Coserea, May 16 2016

Status

approved