A265118 - OEIS

A265118

Number of 3Xn arrays containing n copies of 0..3-1 with row sums equal, column sums equal and full-length antidiagonal sums equal to the short dimension sums.

%I #10 Mar 23 2017 14:41:38

%S 0,0,8,6,10,26,42,70,150,282,506,1002,1950,3670,7126,13926,26826,

%T 52082,101802,198146,386238,755790,1478302,2892442,5670210,11122230,

%U 21823494,42863862,84247842,165655146,325927242,641635110,1263690038,2489962938

%N Number of 3Xn arrays containing n copies of 0..3-1 with row sums equal, column sums equal and full-length antidiagonal sums equal to the short dimension sums.

%C Row 3 of A265117.

%H R. H. Hardin, <a href="/A265118/b265118.txt">Table of n, a(n) for n = 1..210</a>

%F G.f.: 2*(r^2-r+1)/sqrt((r-1)*(2*r-1)*(2*r^2+r+1))+2*(r^3-r^2-1) -_Stefan Hollos_, Mar 23 2017

%e Some solutions for n=9

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

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

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

%Y Cf. A265117.

%K nonn

%O 1,3

%A _R. H. Hardin_, Dec 01 2015