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Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 filled by rows with each element moved a city block distance of 0 or 2, and rows and columns in increasing lexicographic order.
1

%I #6 Nov 10 2015 12:19:19

%S 27,13455,1880912,248766606,40226420700,6430889476830,997089350659935,

%T 155066286980838574,24289572000868063504,3800307063007851818782,

%U 594288727534365247459980,92947011169275040045085134

%N Number of (n+1)X(4+1) arrays of permutations of 0..n*5+4 filled by rows with each element moved a city block distance of 0 or 2, and rows and columns in increasing lexicographic order.

%C Column 4 of A263602.

%H R. H. Hardin, <a href="/A263601/b263601.txt">Table of n, a(n) for n = 1..27</a>

%e Some solutions for n=2

%e ..0..1..2..7..8....0..5..8..9.14....0..3..8.13.14....0..3..8.13.14

%e .11.10..3.14..9....1..2.11..6.13....1..2..7.12..9....5..2..9..4..7

%e .12..5..6.13..4...10..7.12..3..4....6..5.10.11..4...10..1..6.11.12

%Y Cf. A263602.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 22 2015