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%I #4 Dec 11 2014 06:40:05
%S 1194,1914,1914,2524,3054,2524,3260,4624,4624,3260,5810,4938,6086,
%T 4938,5810,8932,10704,10820,10820,10704,8932,12872,19964,27366,25882,
%U 27366,19964,12872,21518,34396,59760,80438,80438,59760,34396,21518,33814,76834
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum 2 4 5 or 7 and every diagonal and antidiagonal sum not 2 4 5 or 7
%C Table starts
%C ..1194...1914....2524.....3260......5810.......8932.......12872........21518
%C ..1914...3054....4624.....4938.....10704......19964.......34396........76834
%C ..2524...4624....6086....10820.....27366......59760......153792.......424648
%C ..3260...4938...10820....25882.....80438.....253148......856022......3063064
%C ..5810..10704...27366....80438....340800....1316762.....5742474.....24518672
%C ..8932..19964...59760...253148...1316762....6752446....36065236....196441982
%C .12872..34396..153792...856022...5742474...36065236...249690188...1610617806
%C .21518..76834..424648..3063064..24518672..196441982..1610617806..13251150646
%C .33814.157770.1188644.10885914.111841952.1066828482.11148308670.108350245070
%C .52274.319716.3247774.39035588.475675160.5808060274.71796251804.887270130550
%H R. H. Hardin, <a href="/A251923/b251923.txt">Table of n, a(n) for n = 1..390</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 59] for n>63
%F k=2: [order 66] for n>69
%F k=3: [order 73] for n>77
%F k=4: [order 69] for n>74
%e Some solutions for n=4 k=4
%e ..3..1..0..1..3..1....1..0..1..3..1..0....2..0..2..0..2..3....3..2..0..2..0..2
%e ..1..3..1..3..1..3....0..1..3..1..0..1....0..2..3..2..0..2....2..3..2..0..2..0
%e ..3..1..3..1..3..1....1..3..1..0..1..3....2..0..2..0..2..0....0..2..0..2..3..2
%e ..1..0..1..3..1..3....3..1..0..1..3..1....0..2..0..2..3..2....2..0..2..0..2..0
%e ..3..1..3..1..3..1....1..3..1..3..1..0....2..0..2..3..2..0....0..2..0..2..0..2
%e ..1..3..1..0..1..3....3..1..3..1..3..1....0..2..3..2..0..2....2..0..2..0..2..0
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 11 2014
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