A221145 a(n) is the number of permutations of n elements with exactly one fixed point and no transpositions.

1, 0, 0, 8, 30, 144, 1120, 9120, 80892, 808640, 8908416, 106889760, 1389405160, 19452003648, 291782125440, 4668506495744, 79364583206160, 1428562661736960, 27142690917071872, 542853814698737280, 11399930105272855776, 250798462399704792320

Offset: 1

Author

James Mahoney, Nov 13 2012

Keywords

• nonn

Examples

			For n = 4 the a(4) = 8 solutions are (123), (124), (132), (134), (142), (143), (234), (243)
		

Crossrefs

Cf. A038205.

Column k=1 of A344901.

Formula

Equals n*A038205(n-1). - Giovanni Resta, Nov 13 2012

Extensions

Edited by N. J. A. Sloane, Jan 03 2013