A322145 Number of permutations of 9 copies of 1..n with no element equal to another within a distance of 1.

1, 0, 2, 17236524, 2511603532825176, 2829059722872229922701920, 17498057808683351584656839871450000, 459422439054082909311010463927575656038701920, 42176005899746902650961357272521722186133207293858938240

Offset: 0

Author

Seiichi Manyama, Nov 28 2018

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..64

Crossrefs

Row 9 of A322093.

Cf. A321669, A322127, A322128.

Formula

a(n) = n! * A321669(n).

a(n) = Integral_{0..infinity} (Sum_{k=1..9} (-1)^(9-k) * binomial(8, 9-k) * x^k/k!)^n * exp(-x) dx.