A260094 Number of permutations p of [n] with no fixed points and cyclic displacement of elements restricted by five: p(i)<>i and (i-p(i) mod n <= 5 or p(i)-i mod n <= 5).

1, 0, 1, 2, 9, 44, 265, 1854, 14833, 133496, 1334961, 14684570, 59245120, 238282730, 956135652, 3828509472, 15296722436, 60990443730, 243596762752, 975165838970, 3913571754304, 15742403448024, 63428117376852, 255662480209770, 1031080275942464, 4161127398011040

Offset

0,4

Comments

a(n) = A000166(n) for n <= 11.

Links

Table of n, a(n) for n=0..25.

Maple

a:= n-> `if`(n=0, 1, LinearAlgebra[Permanent](Matrix(n, (i, j)->
        `if`(i<>j and (i-j mod n<=5 or j-i mod n<=5), 1, 0)))):
seq(a(n), n=0..15);

Mathematica

a[n_] := If[n == 0, 1, Permanent[Table[If[i != j && (Mod[i - j, n] <= 5 || Mod[j - i, n] <= 5), 1, 0], {i, 1, n}, {j, 1, n}]]]; Table[an = a[n]; Print["a(", n, ") = ", an]; an, {n, 0, 15}] (* Jean-François Alcover, Jan 06 2016, adapted from Maple *)

Crossrefs

Cf. A000166, A260074, A260081, A260092, A260111, A260091, A260115, A257953, A260216.

Cf. A259778.

Sequence in context: A260092 A259781 A259782 * A259783 A260111 A260091

Adjacent sequences: A260091 A260092 A260093 * A260095 A260096 A260097

Keyword

nonn

Author

Alois P. Heinz, Jul 15 2015

Status

approved