A257189 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two medians of the diagonal and antidiagonal minus the sum of the minimums of the central row and column nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2642, 2642, 10285, 10925, 10285, 39891, 47283, 44795, 39891, 160753, 220126, 252288, 213631, 160753, 639228, 1006996, 1488364, 1661786, 991554, 639228, 2462249, 4613955, 9058784, 12941212, 10392884, 4507765, 2462249, 9299264

Offset

1,1

Comments

Table starts

.....512.....2642......10285.......39891........160753.........639228

....2642....10925......47283......220126.......1006996........4613955

...10285....44795.....252288.....1488364.......9058784.......57766489

...39891...213631....1661786....12941212.....106574293......916707473

..160753...991554...10392884...108242033....1168362160....13584142368

..639228..4507765...65770496...895883809...13043226591...209357338632

.2462249.20935219..429271992..7678171235..151536930267..3329338589296

.9299264.97650228.2786976155.65710359362.1739514241158.52183619444529

Links

R. H. Hardin, Table of n, a(n) for n = 1..199

Formula

Empirical for column k:

k=1: [linear recurrence of order 33] for n>38

Empirical for row n:

n=1: [same linear recurrence of order 33] for n>38

Example

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

Crossrefs

Column 1 and row 1 are A254982

Sequence in context: A254775 A254728 A254721 * A254989 A254982 A258511

Adjacent sequences: A257186 A257187 A257188 * A257190 A257191 A257192

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 17 2015

Status

approved