A257385 T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum

9300, 119716, 119716, 1719620, 1444804, 1719620, 24720784, 20611600, 20611600, 24720784, 349003536, 343435024, 190904784, 343435024, 349003536, 4925793856, 5413133476, 2462144400, 2462144400, 5413133476, 4925793856, 69733153264

Offset

1,1

Comments

Table starts

.........9300.........119716.........1719620........24720784.......349003536

.......119716........1444804........20611600.......343435024......5413133476

......1719620.......20611600.......190904784......2462144400.....38404362240

.....24720784......343435024......2462144400.....17165192256....188932792896

....349003536.....5413133476.....38404362240....188932792896...1137602635980

...4925793856....81296835876....560006768896...2578927657216..11412302804100

..69733153264..1247979436900...7744856653728..33052610739600.138013711391664

.987300576900.19524520846336.111070015128576.423586575525961

Links

R. H. Hardin, Table of n, a(n) for n = 1..71

Formula

Empirical for column k:

k=1: [linear recurrence of order 81]

Example

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

Crossrefs

Sequence in context: A345594 A345852 A257270 * A257266 A257380 A183832

Adjacent sequences: A257382 A257383 A257384 * A257386 A257387 A257388

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 21 2015

Status

approved