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

%I #4 Nov 18 2015 20:36:46

%S 0,4,4,28,97,333,1380,4497,16712,61820,220148,817438,2928108,10697750,

%T 38920136,141054653,514441936,1866146690,6788624488,24686203092,

%U 89672098757,326220334103,1185345202297,4309679482381,15667708119546

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

%C Row 3 of A264583.

%H R. H. Hardin, <a href="/A264586/b264586.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

%e ..1..2..3..4..8....1..5..3..4..8....1..2..3..4..8....1..2..3..4..8

%e ..6.10..0..9.13....0.10..2..9.13....0.10.11..9.13....6.10..0.12.13

%e .11.15..5.14..7...11.15..7..6.18....5.15..7..6.18....5.15..7.17..9

%e .16.17.18.19.12...16.17.12.19.14...16.17.12.19.14...16.11.18.19.14

%Y Cf. A264583.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 18 2015