cp's OEIS Frontend

A183242 Number of permutations of 1..n+9 with each element displaced by at least 5.

%I A183242 #13 Feb 22 2019 18:05:00
%S A183242 1,32,1708,41808,998112,21201024,441629332,9154333160,192565379941,
%T A183242 4146526612518,91932770123800,2105115145527440,49865459492032640,
%U A183242 1222725452864637888,31038395731257896576,815438320994063139856
%N A183242 Number of permutations of 1..n+9 with each element displaced by at least 5.
%C A183242 a(n) equals the permanent of the (n+9) X (n+9) matrix with 0's along the main diagonal and the next 4 superdiagonals and subdiagonals, and 1's everywhere else. - _John M. Campbell_, Jul 09 2011
%e A183242 Some permutations of 1-13 with minimum displacement 5:
%e A183242 (8,13,9,12,10,11,1,2,3,4,5,7,6) (6,11,8,9,10,13,12,1,2,5,3,7,4)
%e A183242 (9,7,8,11,10,1,12,13,3,5,2,4,6) (7,8,10,9,13,11,12,2,1,3,5,6,4)
%e A183242 (8,7,9,10,11,13,12,3,1,5,4,2,6) (7,9,8,10,11,13,12,1,4,2,6,5,3)
%e A183242 (6,12,8,9,10,11,2,13,3,4,1,5,7) (9,7,11,10,13,12,2,1,3,4,5,6,8)
%e A183242 (6,12,8,9,10,11,13,2,1,4,5,7,3) (7,9,10,11,13,12,2,3,1,4,6,5,8)
%e A183242 (6,9,8,10,11,12,13,2,4,3,1,7,5) (10,7,8,9,11,12,13,2,1,5,3,4,6)
%e A183242 (6,8,9,10,12,11,2,13,3,1,4,7,5) (9,8,12,13,10,11,2,1,4,5,3,7,6)
%e A183242 (8,12,9,13,10,11,2,1,3,5,4,7,6) (7,9,8,10,12,11,13,3,1,5,2,4,6)
%e A183242 (10,9,8,11,13,12,1,3,2,5,4,7,6) (7,8,9,11,10,1,12,13,3,5,6,4,2)
%e A183242 (7,8,13,9,10,11,12,1,4,5,2,6,3) (8,10,11,9,13,1,12,2,4,3,6,7,5)
%Y A183242 Column 5 of A183244.
%K A183242 nonn
%O A183242 1,2
%A A183242 _R. H. Hardin_, Jan 03 2011