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

0,3

Links

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

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.

Crossrefs

Row 9 of A322093.

Cf. A321669, A322127, A322128.

Sequence in context: A326615 A259407 A157992 * A301810 A296627 A247214

Adjacent sequences: A322142 A322143 A322144 * A322146 A322147 A322148

Keyword

nonn

Author

Seiichi Manyama, Nov 28 2018

Status

approved