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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,-1 -2,0 or 1,1.
1

%I #4 Nov 27 2015 07:31:57

%S 1,7,65,572,3613,19372,103585,629654,3930725,23940621,142473267,

%T 842856777,5016418697,30065544899,180338347093,1079186020543,

%U 6447895527277,38523254178658,230312221421636,1377482024204996

%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,-1 -2,0 or 1,1.

%C Column 5 of A264878.

%H R. H. Hardin, <a href="/A264875/b264875.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e .12..2..3..4..5.17....1..0..3..2..5.17...12..2..3.15..5.17....1.13..3.15..5.17

%e ..7..0..1.10.11.23...18..6..7..8.11..4....7..0..1..8.11..4...18..0..9..2.11..4

%e .24..6.26..8..9.29...13.12.15.16..9.10...24..6.13.14..9.10...24..6..7..8.28.10

%e .19.20.13.14.15.16...19.20.21.14.23.22...19.18.21.22.23.16...19.12.21.14.23.16

%e .25.18.27.28.21.22...25.24.27.26.29.28...25.26.27.20.29.28...25.26.27.20.29.22

%Y Cf. A264878.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 27 2015