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A322145 Number of permutations of 9 copies of 1..n with no element equal to another within a distance of 1. 2

%I #12 Nov 29 2018 06:26:31

%S 1,0,2,17236524,2511603532825176,2829059722872229922701920,

%T 17498057808683351584656839871450000,

%U 459422439054082909311010463927575656038701920,42176005899746902650961357272521722186133207293858938240

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

%H Seiichi Manyama, <a href="/A322145/b322145.txt">Table of n, a(n) for n = 0..64</a>

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

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

%Y Row 9 of A322093.

%Y Cf. A321669, A322127, A322128.

%K nonn

%O 0,3

%A _Seiichi Manyama_, Nov 28 2018

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Last modified August 30 11:32 EDT 2024. Contains 375543 sequences. (Running on oeis4.)