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Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order.
1

%I #6 Nov 10 2015 12:16:33

%S 190,7022,331130,13332096,529329240,20339400914,769775248717,

%T 28769044462647,1066167178758449,39261521869539013,

%U 1439068074410754821,52561141742861529275,1914657702278841483449,69604270238190287361304

%N Number of (5+1)X(n+1) arrays of permutations of 0..n*6+5 filled by rows with each element moved a city block distance of 0 or 1, and rows and columns in increasing lexicographic order.

%C Row 5 of A263519.

%H R. H. Hardin, <a href="/A263523/b263523.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=2

%e ..0..1..2....0..1..2....0..4..5....0..1..2....0..1..2....0..4..5....0..1..5

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

%e ..6..4..8....7..4..8....6..7..8....7..6..5....9..7..5....6.10.11....9..6..7

%e ..9.10.11...10..9.11....9.11.10...10..9.11...10.11..8....9..7..8...12.10..8

%e .12.16.17...15.12.13...13.12.14...13.12.14...12.14.13...12.14.13...13.14.11

%e .15.13.14...16.17.14...16.15.17...15.16.17...15.16.17...15.16.17...15.16.17

%Y Cf. A263519.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 19 2015