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

%I #4 Nov 27 2015 07:39:28

%S 5,0,295,324,103585,1946752,68488297,1924357508,50441933177,

%T 1445554962912,36992542484103,1026445425096056,26650424305406609,

%U 720407685534768304,18921801302926160029,503810101426663743940

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

%C Row 7 of A264878.

%H R. H. Hardin, <a href="/A264884/b264884.txt">Table of n, a(n) for n = 1..69</a>

%e Some solutions for n=4

%e ..1..2..3..4.14....1..2..3..4.14....1..2..3..4.14....1..2.12..4.14

%e ..6..0..8..9.19....6..0.17..9.19....6..0..8..9.19...15..0.17..9..3

%e .11..5.13..7.24...20..5.13..7..8...11..5.13..7.24...20..5..6..7..8

%e .16.10.27.12.29...16.10.11.12.29...16.10.18.12.29...16.10.11.19.13

%e .21.15.32.17.18...30.15.23.24.18...30.15.32.17.34...21.22.32.24.18

%e .35.20.37.22.23...35.27.21.22.39...35.20.21.22.23...35.27.37.29.23

%e .31.25.26.34.28...31.25.26.34.28...31.25.26.27.28...31.25.26.34.28

%e .36.30.38.39.33...36.37.38.32.33...36.37.38.39.33...36.30.38.39.33

%Y Cf. A264878.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 27 2015