A257270 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum less than the antidiagonal sum or central row sum equal to the central column sum

9300, 119716, 119716, 1257600, 2292196, 1257600, 13089924, 29746116, 29746116, 13089924, 121905264, 380991361, 358153488, 380991361, 121905264, 1125468304, 3966480400, 4497848356, 4497848356, 3966480400, 1125468304, 9711591328

Offset

1,1

Comments

Table starts

......9300.....119716.....1257600.....13089924.....121905264.....1125468304

....119716....2292196....29746116....380991361....3966480400....40331082276

...1257600...29746116...358153488...4497848356...39749497116...360292859536

..13089924..380991361..4497848356..59496966400..498831438400..4488101568196

.121905264.3966480400.39749497116.498831438400.3433196592096.27752961899664

Links

R. H. Hardin, Table of n, a(n) for n = 1..59

Formula

Empirical for column k:

k=1: [linear recurrence of order 48]

Example

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

Crossrefs

Sequence in context: A237401 A345594 A345852 * A257385 A257266 A257380

Adjacent sequences: A257267 A257268 A257269 * A257271 A257272 A257273

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 19 2015

Status

approved