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A257361 T(n,k)=Number of (n+2)X(k+2) 0..1 arrays with no 3x3 subblock diagonal sum equal to the antidiagonal sum or central row sum less than the central column sum 9
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 (list; table; graph; refs; listen; history; text; internal format)
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

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Last modified October 22 05:36 EDT 2021. Contains 348160 sequences. (Running on oeis4.)