%I #4 Dec 17 2014 11:11:58
%S 339,1677,1677,9062,13777,9062,48658,131202,131202,48658,259257,
%T 1149386,2091042,1149386,259257,1382414,10157387,30491181,30491181,
%U 10157387,1382414,7389034,91120655,454665875,732217984,454665875,91120655,7389034
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum less than 3
%C Table starts
%C .......339........1677...........9062............48658..............259257
%C ......1677.......13777.........131202..........1149386............10157387
%C ......9062......131202........2091042.........30491181...........454665875
%C .....48658.....1149386.......30491181........732217984.........17918363933
%C ....259257....10157387......454665875......17918363933........727114790171
%C ...1382414....91120655.....6833055569.....443610072768......29918663096948
%C ...7389034...812431496...102043139454...10912522669489....1218437834167018
%C ..39505162..7240016321..1526189064960..268546526289340...49699856516684819
%C .211085078.64612694441.22840267867281.6614897944285757.2030235758746008203
%H R. H. Hardin, <a href="/A252447/b252447.txt">Table of n, a(n) for n = 1..112</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 27] for n>29
%F k=2: [order 65] for n>67
%e Some solutions for n=2 k=4
%e ..0..0..1..0..0..1....0..1..1..0..0..1....0..0..0..0..0..0....0..1..0..0..1..1
%e ..0..0..1..0..1..0....0..0..0..0..1..0....0..0..0..1..0..0....0..0..1..0..0..1
%e ..0..1..0..0..0..0....0..1..0..0..0..1....0..1..0..0..1..1....0..1..0..0..1..0
%e ..0..1..1..0..1..1....0..0..1..1..0..1....0..1..0..1..1..0....0..0..0..0..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 17 2014
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