A252039 T(n,k)=Number of (n+2)X(k+2) 0..4 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime

10991, 31774, 31774, 53776, 55941, 53776, 112929, 84953, 84953, 112929, 327823, 183494, 43475, 183494, 327823, 1080979, 710758, 85570, 85570, 710758, 1080979, 2183207, 2297641, 309509, 242893, 309509, 2297641, 2183207, 5486634, 9138994

Offset

1,1

Comments

Table starts

....10991.....31774.....53776....112929......327823.....1080979.....2183207

....31774.....55941.....84953....183494......710758.....2297641.....9138994

....53776.....84953.....43475.....85570......309509.....1083611.....2760880

...112929....183494.....85570....242893......958171.....3353508....10165927

...327823....710758....309509....958171.....5198219....30060975....97038957

..1080979...2297641...1083611...3353508....30060975...248966785...759807163

..2183207...9138994...2760880..10165927....97038957...759807163..2810979165

..5486634..27977649..11408435..43093018...598042259..8322287804.29562415507

.16631787.118955569..45212106.160833703..3791553994.80058549769

.51672060.380855595.116642072.479755164.11804694219

Links

R. H. Hardin, Table of n, a(n) for n = 1..111

Example

Some solutions for n=3 k=4
..4..0..0..0..1..0....1..1..4..1..3..2....4..1..3..0..3..1....2..1..1..2..1..3
..1..4..1..3..4..3....4..2..0..2..2..0....4..3..3..0..1..3....0..4..2..0..2..4
..3..4..3..1..4..3....1..1..2..1..1..2....1..4..4..1..4..4....2..1..1..2..1..1
..0..1..0..0..1..0....1..1..2..1..1..4....4..3..3..0..3..1....2..1..1..2..1..1
..3..4..1..3..4..1....4..2..0..2..4..0....4..3..3..0..1..3....0..4..4..0..4..4

Crossrefs

Sequence in context: A270115 A335082 A104323 * A252033 A352751 A266983

Adjacent sequences: A252036 A252037 A252038 * A252040 A252041 A252042

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 12 2014

Status

approved