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

%I #6 Nov 10 2015 12:00:14

%S 2281,181644,32417000,3975678008,588617879781,78959520889200,

%T 11166848274154145,1534547377654966752,214185316674167629557,

%U 29640776473731026096764,4120920689916250941333009

%N Number of (n+1)X(7+1) arrays of permutations of 0..n*8+7 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0.

%C Column 7 of A264257.

%H R. H. Hardin, <a href="/A264256/b264256.txt">Table of n, a(n) for n = 1..61</a>

%e Some solutions for n=2

%e ..1..2..3..4..5..6..7.15....8..2..1.11..5.13.14.15....8..0..3..1..2.13..7..6

%e ..0.17.18..9.10.11.12.14....0.10.18..3..4.12..6..7....9.10.11.12..4..5.15.14

%e ..8.16.19.20.21.13.23.22...17..9.16.20.21.19.23.22...17.18.16.20.21.19.23.22

%Y Cf. A264257.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2015