login
Number of (n+1)X(3+1) 0..4 arrays with each row and column divisible by 7, read as a base-5 number with top and left being the most significant digits.
1

%I #4 Oct 21 2015 06:57:52

%S 40,2210,198581,17320937,1552603242,139465708673,12550664907064,

%T 1129509677450598,101655857029690069,9149001966275109079,

%U 823409883417842805426,74106876482781805290919,6669618821669764582641586

%N Number of (n+1)X(3+1) 0..4 arrays with each row and column divisible by 7, read as a base-5 number with top and left being the most significant digits.

%C Column 3 of A263558.

%H R. H. Hardin, <a href="/A263553/b263553.txt">Table of n, a(n) for n = 1..210</a>

%e Some solutions for n=3

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

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

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

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

%Y Cf. A263558.

%K nonn

%O 1,1

%A _R. H. Hardin_, Oct 21 2015