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A275064 Number of permutations p of [n] such that p(i)-i is a multiple of nine for all i in [n]. 2

%I #8 Oct 02 2018 04:58:30

%S 1,1,1,1,1,1,1,1,1,1,2,4,8,16,32,64,128,256,512,1536,4608,13824,41472,

%T 124416,373248,1119744,3359232,10077696,40310784,161243136,644972544,

%U 2579890176,10319560704,41278242816,165112971264,660451885056,2641807540224

%N Number of permutations p of [n] such that p(i)-i is a multiple of nine for all i in [n].

%H Alois P. Heinz, <a href="/A275064/b275064.txt">Table of n, a(n) for n = 0..683</a>

%F a(n) = Product_{i=0..8} floor((n+i)/9)!.

%F a(n) ~ (2*Pi*n)^4 * n! / 9^(n + 9/2). - _Vaclav Kotesovec_, Oct 02 2018

%t Table[Product[Floor[(n + i)/9]!, {i, 0, 8}], {n, 0, 40}] (* _Vaclav Kotesovec_, Oct 02 2018 *)

%Y Column k=9 of A275062.

%K nonn

%O 0,11

%A _Alois P. Heinz_, Jul 15 2016

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