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Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0.
0

%I #5 Nov 10 2015 12:02:37

%S 441,16401,1273553,132080760,10265640512,917543249651,78959520889200,

%T 6799478215099477,591109349052616923,51108477515475519549,

%U 4429825028677660499856

%N Number of (6+1)X(n+1) arrays of permutations of 0..n*7+6 with each element having directed index change 0,1 0,-1 0,2 1,0 or -1,0.

%C Row 6 of A264257.

%e Some solutions for n=2

%e ..1..2..0....1..2..5....1..2..0....3..2..5....1..0..5....3..2..1....1..4..5

%e ..4..5..3....0..3..8....6..7..4....0..1..4....4..3..2....0..7..4....0..7..2

%e ..7..6.11....7..4..6....3..8..5....9.10.11....7..8.11....9..6..5....3.10.11

%e .12..9..8...12.13.10...12.11.14....6..7..8....6..9.10...10.13..8....6..9..8

%e .13.10.17....9.14.11....9.10.13...13.14.17...13.14.12...15.14.11...15.14.17

%e .16.15.14...16.19.20...16.17.20...12.15.20...16.15.20...12.17.16...12.13.20

%e .19.20.18...15.18.17...15.18.19...19.16.18...19.18.17...19.20.18...19.16.18

%Y Cf. A264257.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2015