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Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,1 0,-2 1,0 or -1,0.
1

%I #4 Nov 11 2015 07:38:30

%S 16,177,1952,25080,297721,3654505,44552352,542471200,6626768169,

%T 80723431520,985288480057,12010733518337,146525471716224,

%U 1786714302348881,21792870547680745,265769193202091160

%N Number of (n+1)X(5+1) arrays of permutations of 0..n*6+5 with each element having directed index change 0,1 0,-2 1,0 or -1,0.

%C Column 5 of A264299.

%H R. H. Hardin, <a href="/A264297/b264297.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..6..0..1..9..3.11....6..7..1..5..3..4....2..0..1..5..3..4....2..0..1..5..3..4

%e .12.13..2.15..4..5....0.13..2.11..9.10....8..9..7.15.16.10....8.13..7.15..9.17

%e .14..7..8.17.10.23...14.19..8.17.15.23....6.12.13.17.22.11....6.12.20.14.10.11

%e .24.21.22.20.16.29...12.21.22.20.16.29...24.21.14.20.28.29...24.21.22.23.16.29

%e .18.19.25.26.27.28...18.24.25.26.27.28...18.19.25.26.27.23...18.19.25.26.27.28

%Y Cf. A264299.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2015