A251955 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 3

2172, 15246, 15246, 117100, 188296, 117100, 922890, 2723490, 2723490, 922890, 7415658, 41025310, 78070792, 41025310, 7415658, 60395332, 641763520, 2371536636, 2371536636, 641763520, 60395332, 495518534, 10250030572

Offset

1,1

Comments

Table starts

.......2172.........15246...........117100............922890............7415658

......15246........188296..........2723490..........41025310..........641763520

.....117100.......2723490.........78070792........2371536636........74995353698

.....922890......41025310.......2371536636......146613818422......9379424889214

....7415658.....641763520......74995353698.....9379424889214...1207982363641170

...60395332...10250030572....2414437707602...608058611665734.157141917277860504

..495518534..165378271354...78329223513048.39605904141383754

.4085061316.2684347690572.2550593612042104

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Example

Some solutions for n=2 k=4
..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..1..2..2..0..0..0....2..0..0..1..0..0....0..0..0..2..0..2....1..0..0..0..0..2
..0..2..2..0..0..1....2..0..0..0..1..1....2..0..0..0..2..0....0..0..0..0..0..0
..0..2..2..0..0..1....2..0..0..1..1..0....2..0..2..2..2..2....0..2..0..0..2..0

Crossrefs

Sequence in context: A184558 A097520 A151771 * A251951 A126844 A235861

Adjacent sequences: A251952 A251953 A251954 * A251956 A251957 A251958

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 11 2014

Status

approved