A321382 Number of permutations of 6 copies of 1..n with no element equal to another within a distance of 1.

1, 0, 2, 48852, 8437796016, 5752866855116280, 12229789732207993835280, 68139526686950961449783790480, 873795428893219442649940388795690880, 23337489207354946577030915302871598795308160

Offset: 0

Author

Seiichi Manyama, Nov 28 2018

Keywords

• nonn

Links

• Seiichi Manyama, Table of n, a(n) for n = 0..91

Crossrefs

Row 6 of A322093.

Cf. A190835, A322127, A322128.

Formula

a(n) = n! * A190835(n).

a(n) = Integral_{0..infinity} (Sum_{k=1..6} (-1)^(6-k) * binomial(5, 6-k) * x^k/k!)^n * exp(-x) dx.