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Number of (n+1)X(5+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 12:13:37

%S 53,2651,158109,9051857,529329240,30867389241,1805523575884,

%T 105637731091773,6184312882582853,362113871416827745,

%U 21206150373034322027,1241958953411618737140,72739454531341002993626

%N Number of (n+1)X(5+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 Column 5 of A263519.

%H R. H. Hardin, <a href="/A263516/b263516.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..0..1..2..3..4..5....0..2..8..9.10.11....0..1..2..4.10.11....0..1..2..3..4..5

%e ..6.13..8.10..9.11....6..1..7..3..4..5....6.13..7..3..9..5....6.13..8..9.10.17

%e .12..7.14.15.16.23...12.13.14.16.15.23...12.19..8.15.16.17...12..7.14.21.15.11

%e .18.20.19.22.21.17...18.19.20.22.21.17...18.20.14.21.23.22...19.18.20.22.16.23

%Y Cf. A263519.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 19 2015