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%I #4 Dec 12 2014 10:23:34
%S 1198,6094,6094,43572,77488,43572,340164,1209382,1209382,340164,
%T 2708560,19275074,38479934,19275074,2708560,21680096,308552418,
%U 1231596986,1231596986,308552418,21680096,173871388,4946174244,39474106776
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 2 4 5 or 7
%C Table starts
%C ......1198........6094..........43572............340164..............2708560
%C ......6094.......77488........1209382..........19275074............308552418
%C .....43572.....1209382.......38479934........1231596986..........39474106776
%C ....340164....19275074.....1231596986.......78911024030........5058864059512
%C ...2708560...308552418....39474106776.....5058864059512......648649767997560
%C ..21680096..4946174244..1265816542694...324452741031424....83204478074887540
%C .173871388.79312163374.40596220326266.20811403922202520.10674144780289546954
%H R. H. Hardin, <a href="/A252000/b252000.txt">Table of n, a(n) for n = 1..127</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 31] for n>35
%F k=2: [order 53] for n>57
%F k=3: [order 96] for n>101
%e Some solutions for n=2 k=4
%e ..0..0..0..0..0..0....0..0..0..0..0..0....0..0..0..0..0..3....0..0..0..0..0..3
%e ..0..0..0..3..0..3....3..0..0..3..0..0....3..0..3..0..0..3....0..0..3..3..0..3
%e ..1..0..0..3..3..0....3..0..3..0..3..0....0..0..0..0..0..0....3..0..0..3..3..0
%e ..0..0..3..0..3..0....3..0..0..3..3..3....3..0..3..0..3..3....3..3..3..3..0..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 12 2014
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