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

%I #6 Nov 10 2015 11:43:24

%S 169,21997,1210573,60472721,3516298221,200034582505,11197485353301,

%T 632314666234720,35739415858369109,2017303438188605909,

%U 113909645380691980389,6433472548451922218353,363328190251615280141201

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

%C Row 5 of A264217.

%H R. H. Hardin, <a href="/A264222/b264222.txt">Table of n, a(n) for n = 1..34</a>

%e Some solutions for n=2

%e ..0..4..1....0..1..2....0..1..2....0..1..2....0..4..1....2..0..1....0..1..2

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

%e ..8.10..7....6..4..5....3..4..5....6..4..5....6..7.11....9.10..8....6.10..8

%e ..6..9.11....9.10.14...12..9.11....9.13.14....9.10..8....6..7.11....9..7.14

%e .14.12.17...15.16.11...14.10.17...12.10.11...12.13.17...12.13.14...15.13.11

%e .15.13.16...12.13.17...15.13.16...15.16.17...15.16.14...15.16.17...12.16.17

%Y Cf. A264217.

%K nonn

%O 1,1

%A _R. H. Hardin_, Nov 08 2015