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.

0, 0, 8, 6, 10, 26, 42, 70, 150, 282, 506, 1002, 1950, 3670, 7126, 13926, 26826, 52082, 101802, 198146, 386238, 755790, 1478302, 2892442, 5670210, 11122230, 21823494, 42863862, 84247842, 165655146, 325927242, 641635110, 1263690038, 2489962938

Offset

1,3

Comments

Row 3 of A265117.

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

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

Example

Some solutions for n=9
..0..1..0..2..1..2..1..0..2....2..1..0..1..2..1..0..2..0
..2..2..1..0..0..0..2..1..1....0..2..2..0..0..2..1..1..1
..1..0..2..1..2..1..0..2..0....1..0..1..2..1..0..2..0..2

Crossrefs

Cf. A265117.

Sequence in context: A104668 A254337 A053744 * A034085 A303316 A340518

Adjacent sequences: A265115 A265116 A265117 * A265119 A265120 A265121

Keyword

nonn

Author

R. H. Hardin, Dec 01 2015

Status

approved