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

%I #4 Nov 18 2015 20:33:54

%S 3,128,1380,21312,366292,5469993,80571013,1220343344,18239876421,

%T 271161613570,4046068917960,60303232944737,897820508262500,

%U 13372087801137136,199159806756991021,2965719566675949428

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

%C Column 7 of A264583.

%H R. H. Hardin, <a href="/A264582/b264582.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..2..9..4..5..6..7.14....1..2..3..4..5..6.13.14....1..8..9..4.11..6..7.14

%e ..0.16.11.12.19..3.21.22....0.16.11.18.19.20.21..7....0.10..2..3.13..5.21.22

%e ..8.24.10.20.27.13.29.15....8..9.10.26.12.28.23.15...17.24.25.20.12.28.23.15

%e .25.32.18.17.35.30.37.23...25.32.33.17.29.30.22.38...16.32.27.19.18.30.37.38

%e .33.34.26.36.28.38.39.31...24.34.35.36.37.27.39.31...33.34.35.36.26.29.39.31

%Y Cf. A264583.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 18 2015