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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

%I

%S 220,784,784,3108,2116,3108,12100,6724,6724,12100,45684,20449,17056,

%T 20449,45684,174724,53824,45796,45796,53824,174724,674856,145924,

%U 112236,101124,112236,145924,674856,2585664,451584,234256,246016,246016,234256

%N 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

%C Table starts

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

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

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

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

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

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

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

%C ..2585664..1368900.1136356..2598544..6240004.15547249..30603024..62948356

%C ..9853288..3724900.2763008..6200100.12771684.31606884..76329692.155201764

%C .37724164.10240000.5914624.15225604.30294016.64818601.159516900.397763136

%H R. H. Hardin, <a href="/A257361/b257361.txt">Table of n, a(n) for n = 1..799</a>

%F Empirical for column k:

%F k=1: [linear recurrence of order 16]

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

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

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

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

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

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

%e Some solutions for n=4 k=4

%e ..1..0..0..0..1..1....0..0..0..0..1..0....1..1..0..0..1..1....1..1..0..0..1..1

%e ..1..1..0..1..1..1....1..0..0..1..0..0....1..1..0..1..1..0....1..1..0..0..1..1

%e ..1..0..1..1..0..1....0..1..1..0..0..1....1..0..1..1..0..1....1..0..1..1..0..0

%e ..0..1..1..0..0..1....0..1..1..0..0..1....0..1..1..0..0..0....1..1..1..1..0..1

%e ..1..1..0..0..1..1....1..0..0..1..1..0....1..1..0..0..0..1....0..1..1..0..1..0

%e ..1..0..0..1..1..1....0..0..0..0..1..0....1..0..0..0..0..1....1..0..0..1..0..0

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Apr 20 2015

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Last modified December 2 14:48 EST 2021. Contains 349445 sequences. (Running on oeis4.)