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%I #6 Apr 11 2022 12:49:38
%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 3 X 3 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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