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%I #4 Dec 13 2014 20:53:30
%S 64,130,130,295,322,295,687,943,943,687,1591,2595,3326,2595,1591,3650,
%T 7089,11186,11186,7089,3650,8389,19910,38374,47266,38374,19910,8389,
%U 19412,55703,132875,199064,199064,132875,55703,19412,45002,155266,457442
%N T(n,k)=Number of (n+2)X(k+2) 0..2 arrays with every 3X3 subblock row, column, diagonal and antidiagonal sum not equal to 1 3 or 4
%C Table starts
%C .....64.....130......295.......687.......1591........3650..........8389
%C ....130.....322......943......2595.......7089.......19910.........55703
%C ....295.....943.....3326.....11186......38374......132875........457442
%C ....687....2595....11186.....47266.....199064......846257.......3603209
%C ...1591....7089....38374....199064....1034546.....5474209......28883234
%C ...3650...19910...132875....846257....5474209....35987921.....235656844
%C ...8389...55703...457442...3603209...28883234...235656844....1915241208
%C ..19412..155266..1580135..15363231..152360177..1544714826...15577211975
%C ..45002..434540..5473377..65536806..805901591.10150201969..127024329067
%C .104255.1216413.18930754.279433103.4260742020.66639770473.1035087495381
%H R. H. Hardin, <a href="/A252088/b252088.txt">Table of n, a(n) for n = 1..337</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 17] for n>18
%F k=2: [order 22] for n>23
%F k=3: [order 44] for n>46
%F k=4: [order 69] for n>73
%e Some solutions for n=4 k=4
%e ..1..2..2..2..2..1....2..2..2..2..1..2....0..2..0..0..0..0....1..2..2..2..2..2
%e ..2..2..1..2..2..2....2..2..1..2..2..2....0..0..0..2..0..0....2..2..2..2..2..2
%e ..2..2..2..2..2..2....2..2..2..2..2..1....0..0..0..0..0..2....2..2..2..2..2..2
%e ..2..2..2..2..2..2....2..2..2..2..2..2....0..0..0..0..0..0....2..2..2..2..2..1
%e ..2..2..2..2..2..2....2..2..2..2..2..2....2..0..0..0..0..0....1..2..2..2..2..2
%e ..2..2..2..2..1..2....1..2..2..2..2..2....0..0..0..2..0..0....2..2..2..2..2..2
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 13 2014
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