A262122 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with each row and column prime, read as a base 3 number with top and left being the most significant digits.

5, 5, 5, 23, 44, 23, 47, 83, 83, 47, 133, 784, 2802, 784, 133, 369, 2632, 8086, 8086, 2632, 369, 1206, 19665, 218493, 473294, 218493, 19665, 1206, 3427, 92550, 716874, 1726432, 1726432, 716874, 92550, 3427, 11146, 663483, 35791690, 170946506

Offset

1,1

Comments

Table starts

.....5......5.......23........47.......133.......369.....1206......3427...11146

.....5.....44.......83.......784......2632.....19665....92550....663483.3565229

....23.....83.....2802......8086....218493....716874.35791690.142423172

....47....784.....8086....473294...1726432.170946506

...133...2632...218493...1726432.315759093

...369..19665...716874.170946506

..1206..92550.35791690

..3427.663483

.11146

Links

R. H. Hardin, Table of n, a(n) for n = 1..48

Example

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

Crossrefs

Sequence in context: A379563 A365368 A098526 * A216876 A019162 A024951

Adjacent sequences: A262119 A262120 A262121 * A262123 A262124 A262125

Keyword

nonn,tabl

Author

R. H. Hardin, Sep 11 2015

Status

approved