A254907 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with every 3X3 subblock sum of the two sums of the diagonal and antidiagonal minus the two minimums of the central column and central row nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 2423, 2423, 7579, 5939, 7579, 22901, 14137, 13444, 22901, 72249, 40492, 24358, 36387, 72249, 219706, 109250, 50697, 54081, 81620, 219706, 616608, 258031, 86176, 90730, 59885, 146168, 616608, 1656147, 576326, 138819, 131204, 67266, 56618

Offset

1,1

Comments

Table starts

......512....2423..7579.22901..72249.219706.616608.1656147.4391684.11530065

.....2423....5939.14137.40492.109250.258031.576326.1231872.2547861..5124950

.....7579...13444.24358.50697..86176.138819.230095..343854..487927...682152

....22901...36387.54081.90730.131204.163974.215089..239280..260856...309878

....72249...81620.59885.67266..61769..62640..74027...76671...77098....90779

...219706..146168.56618.38461..21730..20173..16945...15221...16516....19402

...616608..268310.73167.38752..21843..16493..10974...10203...10488....11818

..1656147..501323.84033.31692..14379..10902..10344....9502....9744....10679

..4391684..877772.87145.28351..11427..10093..10525....9867....9786....10664

.11530065.1500214.95312.28788..12218..10262..10331....9567....9645....10684

Links

R. H. Hardin, Table of n, a(n) for n = 1..2119

Formula

Empirical for column k:

k=1: [linear recurrence of order 44] for n>50

Empirical for row n:

n=1: [same linear recurrence of order 44] for n>50

Example

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

Crossrefs

Sequence in context: A258519 A254568 A254561 * A257209 A254900 A253841

Adjacent sequences: A254904 A254905 A254906 * A254908 A254909 A254910

Keyword

nonn,tabl

Author

R. H. Hardin, Feb 10 2015

Status

approved