A094955 Main diagonal of array A094954.

1, 2, 11, 91, 985, 13201, 211303, 3936808, 83739041, 2003229469, 53252096051, 1557702562417, 49731172316281, 1720974414781454, 64174041067789199, 2565470565551429551, 109461497917277584513, 4965206236292285024041

Offset

1,2

Links

Table of n, a(n) for n=1..18.

Formula

a(n) = y(n,n), where y(m+1,n)=n*y(m,n)-y(m-1,n), with y(0,n)=y(1,n)=y(2,n)=1 for all n. - Benedict W. J. Irwin, Nov 03 2016

a(n) ~ exp(1) * n^(n-1). - Vaclav Kotesovec, Nov 05 2016

Mathematica

Table[DifferenceRoot[Function[{y, m}, {y[1 + m] == n*y[m] - y[m - 1], y[0] == 1, y[1] == 1, y[2] == 1}]][n], {n, 2, 20}] (* Benedict W. J. Irwin, Nov 03 2016 *)

Crossrefs

Cf. A094954.

Sequence in context: A258221 A004677 A266656 * A352292 A143870 A047854

Adjacent sequences: A094952 A094953 A094954 * A094956 A094957 A094958

Keyword

nonn

Author

Ralf Stephan, May 31 2004

Status

approved