A252628 T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 1 3 6 or 8

4508, 17704, 17704, 81098, 78710, 81098, 405044, 585774, 585774, 405044, 2130874, 5013608, 8098018, 5013608, 2130874, 11518022, 45094726, 118551272, 118551272, 45094726, 11518022, 63438930, 410194726, 1793890764, 2894745288, 1793890764

Offset

1,1

Comments

Table starts

........4508.........17704............81098............405044

.......17704.........78710...........585774...........5013608

.......81098........585774..........8098018.........118551272

......405044.......5013608........118551272........2894745288

.....2130874......45094726.......1793890764.......72359809802

....11518022.....410194726......27201457322.....1811913699224

....63438930....3747351702.....412945739530....45371704729062

...353233466...34254637480....6275667755428..1137317580721148

..1976523666..313184238226...95419825718602.28509333379628144

.11088640448.2863795168360.1450304432983900

Links

R. H. Hardin, Table of n, a(n) for n = 1..83

Example

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

Crossrefs

Sequence in context: A184465 A144490 A252470 * A252623 A023684 A105845

Adjacent sequences: A252625 A252626 A252627 * A252629 A252630 A252631

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 19 2014

Status

approved