A171808 Number of 5 X 5 permutation matrices such that the n-th matrix power is the identity matrix and the determinant is +1.

1, 15, 20, 0, 24

Offset: 1

Author

Artur Jasinski, Dec 18 2009

Keywords

• fini
• nonn
• full

Comments

Sum of this sequence is equal to the number of permutation matrices with determinant +1 = 5!/2 = 60. For number matrices with determinant = -1 see A171809.

Examples

			a(1)=1 because there is only one matrix whose first power is the identity matrix (this is the identity matrix itself).
		

Crossrefs

Cf. A171806, A171809.