A263584 - OEIS

A263584

Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 filled by rows with each element moved a city block distance of 1 or 2, and rows and columns in increasing lexicographic order.

%I #6 Nov 10 2015 12:26:32

%S 12,1992,145151,14088801,1544467524,162168224979,16879917679631,

%T 1775863143870845,187142165389625874,19699623733009397058,

%U 2073969553045375908402,218412281827791643108849

%N Number of (n+1)X(3+1) arrays of permutations of 0..n*4+3 filled by rows with each element moved a city block distance of 1 or 2, and rows and columns in increasing lexicographic order.

%C Column 3 of A263586.

%H R. H. Hardin, <a href="/A263584/b263584.txt">Table of n, a(n) for n = 1..86</a>

%e Some solutions for n=3

%e ..1..2..6..7....1..2.10.11....1..2..5..7....1..3.10.11....1..4..7.11

%e ..8..0..9.15....5..0..4..6....6..0..9..3....9..0..5..2....5..0..3..6

%e .12..4.11..3...13.12..8..3...13..4..8.15...12..4..8..6...12..8..2..9

%e .14..5.10.13...14..9.15..7...14.12.11.10...13.14.15..7...14.10.15.13

%Y Cf. A263586.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 22 2015