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Number of (n+1)X(3+1) 0..4 arrays with each row and column divisible by 9, read as a base-5 number with top and left being the most significant digits.
1

%I #4 Oct 16 2015 08:11:32

%S 11,496,34334,2332320,161833750,11300297029,790807552035,

%T 55354924698596,3874845084192752,271238506175238944,

%U 18986681172901988982,1329067394007321921179,93034715336757072662527

%N Number of (n+1)X(3+1) 0..4 arrays with each row and column divisible by 9, read as a base-5 number with top and left being the most significant digits.

%C Column 3 of A263382.

%H R. H. Hardin, <a href="/A263377/b263377.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

%e ..1..1..0..3....2..0..2..1....0..4..3..2....4..3..2..0....4..3..2..0

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

%e ..0..2..0..4....0..0..0..0....0..1..2..1....1..2..1..0....3..4..0..2

%e ..3..0..0..3....1..2..1..0....0..3..1..1....3..1..1..0....0..3..1..1

%Y Cf. A263382.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 16 2015