A252293 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 0 1 or 4

564, 1130, 1130, 2525, 1920, 2525, 5910, 3848, 3848, 5910, 14042, 8636, 8208, 8636, 14042, 33171, 20213, 20558, 20558, 20213, 33171, 79607, 49671, 59767, 68320, 59767, 49671, 79607, 192757, 126017, 184998, 254401, 254401, 184998, 126017, 192757

Offset

1,1

Comments

Table starts

.....564....1130.....2525......5910......14042.......33171.........79607

....1130....1920.....3848......8636......20213.......49671........126017

....2525....3848.....8208.....20558......59767......184998........596945

....5910....8636....20558.....68320.....254401.....1012183.......4209322

...14042...20213....59767....254401....1227461.....6319654......33076723

...33171...49671...184998...1012183....6319654....41069194.....268261981

...79607..126017...596945...4209322...33076723...268261981....2178722578

..192757..325493..1992948..17769366..173978395..1756734380...17710640816

..466820..863661..6773233..75470425..918980293.11536574218..144353942697

.1139785.2328733.23197044.321306676.4858189985.75750985228.1176494729579

Links

R. H. Hardin, Table of n, a(n) for n = 1..220

Formula

Empirical for column k:

k=1: [linear recurrence of order 89] for n>91

Example

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

Crossrefs

Sequence in context: A183732 A014361 A274471 * A252286 A252285 A206131

Adjacent sequences: A252290 A252291 A252292 * A252294 A252295 A252296

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 16 2014

Status

approved