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Number of permutations of 10 copies of 1..n with no element equal to another within a distance of 1.
2

%I #12 Nov 28 2018 08:49:12

%S 1,0,2,124948668,174702663548149248,2360719028641481267959955040,

%T 211490077066069537208795610578715159120,

%U 94446414948214202156311984061437135600678877848560

%N Number of permutations of 10 copies of 1..n with no element equal to another within a distance of 1.

%H Seiichi Manyama, <a href="/A322146/b322146.txt">Table of n, a(n) for n = 0..59</a>

%F a(n) = n! * A321670(n).

%F a(n) = Integral_{0..infinity} (Sum_{k=1..10} (-1)^(10-k) * binomial(9, 10-k) * x^k/k!)^n * exp(-x) dx.

%Y Row 10 of A322093.

%Y Cf. A321670, A322127, A322128.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 28 2018