A257361 T(n,k) = Number of (n+2) X (k+2) 0..1 arrays with no 3 X 3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum.

220, 784, 784, 3108, 2116, 3108, 12100, 6724, 6724, 12100, 45684, 20449, 17056, 20449, 45684, 174724, 53824, 45796, 45796, 53824, 174724, 674856, 145924, 112236, 101124, 112236, 145924, 674856, 2585664, 451584, 234256, 246016, 246016, 234256

Offset

1,1

Comments

Table starts

......220......784....3108....12100....45684...174724....674856...2585664

......784.....2116....6724....20449....53824...145924....451584...1368900

.....3108.....6724...17056....45796...112236...234256....475608...1136356

....12100....20449...45796...101124...246016...622521...1249924...2598544

....45684....53824..112236...246016...482560..1196836...2980712...6240004

...174724...145924..234256...622521..1196836..2433600...6012304..15547249

...674856...451584..475608..1249924..2980712..6012304..12278736..30603024

..2585664..1368900.1136356..2598544..6240004.15547249..30603024..62948356

..9853288..3724900.2763008..6200100.12771684.31606884..76329692.155201764

.37724164.10240000.5914624.15225604.30294016.64818601.159516900.397763136

Links

R. H. Hardin, Table of n, a(n) for n = 1..799

Formula

Empirical for column k:

k=1: [linear recurrence of order 16],

k=2: [order 66] for n>68,

k=3: [order 36] for n>39,

k=4: [order 42] for n>46,

k=5: [same order 36] for n>41,

k=6: [same order 42] for n>48,

k=7: [same order 36] for n>43.

Example

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

Crossrefs

Sequence in context: A211816 A135807 A258545 * A258538 A257354 A102073

Adjacent sequences: A257358 A257359 A257360 * A257362 A257363 A257364

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 20 2015

Status

approved