A077123 Let M_n be the n X n matrix M_(i,j) = i!-j! then the characteristic polynomial of M_n = x^n+a(n)*x^(n-2).

0, 1, 42, 1379, 51676, 2438373, 146581550, 11075609047, 1032628339584, 116710488322601, 15741160102417618, 2499106917666707835, 461526692949421538852, 98124338524653370059469

Offset

1,3

Links

Table of n, a(n) for n=1..14.

Prog

(PARI) a(n)=polcoeff(charpoly(matrix(n, n, i, j, i!-j!)), n-2)
(PARI) a(n)=sum(i=1, n, sum(j=1, i-1, (i!-j!)^2))

Crossrefs

Sequence in context: A331805 A348775 A238537 * A121974 A096048 A215301

Adjacent sequences: A077120 A077121 A077122 * A077124 A077125 A077126

Keyword

nonn

Author

Benoit Cloitre, Nov 29 2002

Status

approved