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Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.
1

%I #4 Nov 12 2015 07:57:23

%S 6,9,385,3778,63575,828400,11888603,163298870,2275569624,31552306013,

%T 437685392431,6074696881202,84245234781160,1169032382776504,

%U 16215316393763249,224976383266144188,3120908613452812544

%N Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 with each element having directed index change 2,-2 -1,0 -1,2 1,0 or 0,-1.

%C Column 4 of A264379.

%H R. H. Hardin, <a href="/A264375/b264375.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..5..2..3..6..9....5..2..3..4..7....1..2..3..8..7....5..6..7..8..9

%e ..0..1.10.13..4....0..1.10.13.12....0.11.10.13..4....0..1.12.11..4

%e .11.12.15.16.17...15..6.17..8..9....5..6.15.14..9....2..3.13.16.17

%e ..7..8.20.23.24...20.11.18.23.22...16.17.20.21.24...10.21.20.23.24

%e .21.22.14.18.19...21.16.14.24.19...12.22.23.18.19...15.22.14.18.19

%Y Cf. A264379.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 12 2015