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Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-2 1,0 or -1,0.
1

%I #4 Nov 11 2015 07:44:42

%S 1,20,89,332,1952,10449,51825,271385,1423312,7377473,38384768,

%T 199921136,1040944841,5418020729,28200226049,146829523292,

%U 764363230209,3978793059292,20713653589248,107832120979057,561339614901057

%N Number of (3+1)X(n+1) arrays of permutations of 0..n*4+3 with each element having directed index change 0,1 0,-2 1,0 or -1,0.

%C Row 3 of A264299.

%H R. H. Hardin, <a href="/A264302/b264302.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..5..0..1..2..3....5..3..1..2..9....5..6..1..2..3....5..6..7..2..9

%e ..7.11..9.13..4....0.11..6..7..4....0.11..9..7..4....0..1.12..3..4

%e .12..6.14..8.19...12.13.14..8.19...12.10.14..8.19...15.13.14..8.19

%e .10.15.16.17.18...10.15.16.17.18...17.15.16.13.18...10.11.16.17.18

%Y Cf. A264299.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 11 2015