A257426 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock diagonal sum plus antidiagonal minimum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2616, 2616, 10684, 7652, 10684, 41140, 27244, 30309, 41140, 150016, 103575, 117324, 119393, 150016, 514920, 367929, 450756, 449022, 403951, 514920, 1700100, 1246585, 1557227, 1770206, 1290910, 1293242, 1700100, 5487356, 4137316, 5347670

Offset

1,1

Comments

Table starts

......512......2616.....10684.....41140.....150016.....514920.....1700100

.....2616......7652.....27244....103575.....367929....1246585.....4137316

....10684.....30309....117324....450756....1557227....5347670....18009368

....41140....119393....449022...1770206....5985744...19771628....64652177

...150016....403951...1290910...4442466...12316842...39029574...121832476

...514920...1293242...3917190..13233402...36423140..115919394...356678661

..1700100...4098078..11883298..36058660...96141548..317271378..1037269100

..5487356..12497488..33766938..94181694..259492076..756210536..2359203628

.17402796..37528750..96478988.259847932..731002818.2131836574..7099788830

.54388900.111339861.272492320.722844592.2006564512.5828147664.18202585668

Links

R. H. Hardin, Table of n, a(n) for n = 1..338

Formula

Empirical for column k:

k=1: [linear recurrence of order 36]

k=2: [order 47] for n>56

k=3: [order 88] for n>94

Empirical for row n:

n=1: [same linear recurrence of order 36]

n=2: [order 54] for n>66

Example

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

Crossrefs

Column 1 and row 1 are A254235

Sequence in context: A255036 A256954 A255029 * A254242 A254235 A254775

Adjacent sequences: A257423 A257424 A257425 * A257427 A257428 A257429

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 22 2015

Status

approved