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Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.
1

%I #4 Nov 17 2015 15:40:29

%S 1,21,133,1160,14852,163744,1573479,16103502,165752029,1678765742,

%T 16892925020,170699731951,1724096806496,17375168005744,

%U 175086698829941,1764727636006278,17783364887589616,179165583864541771

%N Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 with each element having directed index change -1,1 -1,2 1,0 or 0,-1.

%C Row 5 of A264550.

%H R. H. Hardin, <a href="/A264554/b264554.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=4

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

%e ..0.10..8..3..4....0..7..2..9..4....0.10..8..3.12....0.10..2..9..4

%e .11.12.15.14..9...11.15.13.16.18...11..6.13.17..9...11.12.13..8.17

%e .16.17.18.13.22...10.17.12.19.14...16.20.21.22.14...16.20.18.19.14

%e .21.25.23.26.19...21.25.23.26.28...15.25.23.18.19...15.25.23.27.28

%e .20.27.28.29.24...20.27.22.29.24...26.27.28.29.24...26.21.22.29.24

%Y Cf. A264550.

%K nonn

%O 1,2

%A _R. H. Hardin_, Nov 17 2015