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

%I #4 Nov 17 2015 15:36:20

%S 3,240,2728,66372,1573479,29691127,591482528,11959837149,234588752099,

%T 4630258704238,91650397488268,1806082543597960,35618855441537594,

%U 702809886558706588,13858157412186691169,273285931814164349815

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

%C Column 7 of A264550.

%H R. H. Hardin, <a href="/A264549/b264549.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..2..9..4.10..6.12.14....1..2..8..9..5..6.12.13....1..2..3..9.10..6.13.14

%e ..0.16.17..3.13..5.21..7....0.10.16..3..4.20.15..7....0.16.17.12..4..5.15..7

%e ..8.18.24.11.27.22.29.15...17.18.19.11.21.22.14.29....8.18.19.11.21.27.29.30

%e .25.26.32.19.20.30.37.23...25.32.33.28.35.30.36.23...25.32.33.28.20.35.22.23

%e .33.34.35.36.28.38.39.31...24.34.26.27.37.38.39.31...24.34.26.36.37.38.39.31

%Y Cf. A264550.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 17 2015