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

Author

N. J. A. Sloane, May 07 2016

Keywords

• nonn
• easy

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.

Crossrefs

Cf. A272644.

Programs

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

Formula

See A272644.

Extensions

More terms from Gheorghe Coserea, May 16 2016