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Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change -1,1 1,0 1,-1 or 0,-1.
1

%I #4 Nov 11 2015 13:17:05

%S 4,64,1573,51904,1371555,40119900,1082465413,28865247648,765329377660,

%T 20139599598080,528526363260915,13854017612924940,362859602388291635,

%U 9499873105298368189,248666260777963610898,6508400337721660839232

%N Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change -1,1 1,0 1,-1 or 0,-1.

%C Column 7 of A264336.

%H R. H. Hardin, <a href="/A264335/b264335.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..8..3..4.11..6.13.14....1..8..3.10..5.12.13.14....1..8..3..4.11..6.13.14

%e ..0..2.17.18.19..5.15..7....0.16..2..4.19..6.21..7....0.16..2.18.19..5.21..7

%e ..9.10.25.20.12.22.29.30....9.18.11.26.27.28.29.15....9.10.25.20.12.22.15.30

%e .16.32.33.34.35.21.37.23...17.32.33.34.20.22.23.38...17.32.33.34.35.36.37.23

%e .24.26.27.36.28.38.39.31...24.25.35.36.37.30.39.31...24.26.27.28.29.38.39.31

%Y Cf. A264336.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 11 2015