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

%I #6 Nov 10 2015 11:59:04

%S 89,1124,23805,397462,7467925,132080760,2411543681,43298007242,

%T 784323747917,14141096261412,255592293615989,4613628383189518,

%U 83336993543802001,1504783875045547408,27176540318951820384

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

%C Column 4 of A264257.

%H R. H. Hardin, <a href="/A264253/b264253.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..1..0..7..4..3....5..2..3..4..9....1..0..3..4..2....1..0..3..4..2

%e ..6..5..2.13..8....0..1..8..6..7...10.11..6..9..7....6..5..8..7.14

%e .15.10.11.12..9...11.16.17.12.19....5.12.17..8.19...15.12.13.18..9

%e .16.17.18.19.14...10.15.18.13.14...16.15.18.13.14...10.11.16.19.17

%Y Cf. A264257.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 09 2015