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Number of permutations p of [n] with no fixed points and displacement of elements restricted by ten: 1 <= |p(i)-i| <= 10.
4

%I #12 Jul 19 2015 19:37:12

%S 1,0,1,2,9,44,265,1854,14833,133496,1334961,14684570,145510740,

%T 1314803006,11013531389,87155940048,663875231097,4947896842392,

%U 36563337902968,270617834212996,2021217246729905,15317729587621252,118254506519672137,924131987256868248

%N Number of permutations p of [n] with no fixed points and displacement of elements restricted by ten: 1 <= |p(i)-i| <= 10.

%C Conjecture: Column k > 0 of A259776 has a linear recurrence (with constant coefficients) of order = A005317(k) = (2^k + C(2*k,k))/2. For k=10 is conjectured recurrence order 92890. - _Vaclav Kotesovec_, Jul 07 2015

%H Alois P. Heinz, <a href="/A259783/b259783.txt">Table of n, a(n) for n = 0..175</a>

%Y Column k=10 of A259776.

%Y Cf. A260216.

%K nonn

%O 0,4

%A _Alois P. Heinz_, Jul 05 2015