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a(n) = largest term in row n of array in A272644.
2

%I #12 May 17 2016 05:40:03

%S 1,1,5,13,73,301,2069,11581,95401,673261,6487445,55213453,610093513,

%T 6077248381,75796724309,864806272861,12020754177001,154546274524621,

%U 2369364111428885,33888536448984493,568128719132038153,8947078682269788061

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

%H Gheorghe Coserea, <a href="/A272645/b272645.txt">Table of n, a(n) for n = 2..101</a>

%H Irving Kaplansky and John Riordan, <a href="http://projecteuclid.org/euclid.dmj/1077473616">The problem of the rooks and its applications</a>, Duke Mathematical Journal 13.2 (1946): 259-268. The array is on page 267.

%F See A272644.

%o (PARI)

%o A(n,m) = sum(i=0, m, stirling(m+1, i+1, 2) * (-1)^((m-i)%2) * i^(n - m) * i!);

%o apply(vecmax, vector(22, n, vector(n, m, A(n+1, m)))) \\ _Gheorghe Coserea_, May 16 2016

%Y Cf. A272644.

%K nonn,easy

%O 2,3

%A _N. J. A. Sloane_, May 07 2016

%E More terms from _Gheorghe Coserea_, May 16 2016