A322146 Number of permutations of 10 copies of 1..n with no element equal to another within a distance of 1.
1, 0, 2, 124948668, 174702663548149248, 2360719028641481267959955040, 211490077066069537208795610578715159120, 94446414948214202156311984061437135600678877848560
Offset: 0
Keywords
Links
- Seiichi Manyama, Table of n, a(n) for n = 0..59
Formula
a(n) = n! * A321670(n).
a(n) = Integral_{0..infinity} (Sum_{k=1..10} (-1)^(10-k) * binomial(9, 10-k) * x^k/k!)^n * exp(-x) dx.