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

%I #4 Nov 15 2015 18:41:29

%S 4,8,149,1224,11464,105324,934515,8447072,74853911,667307316,

%T 5910551849,52402729032,463749831684,4103713013772,36294105886533,

%U 320942829301896,2837528947062683,25084989795765540,221746618032948331

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

%C Row 4 of A264506.

%H R. H. Hardin, <a href="/A264510/b264510.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..0..5..6..9..4....6..5..2..9.13....0..7..8.12.13....0.10..8..7.13

%e .11.15.13.12.18...11.12..7.14.18....5.10.11.17..9....5.15.11.14..9

%e .10.20.16.19.14...10.15.16.22.23...16.15.18.22.14...16.20.12.17.18

%e .21.22.17.24.23...21.20.17.24.19...21.20.23.24.19...21.22.23.24.19

%Y Cf. A264506.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 15 2015