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%I #4 Dec 10 2014 16:46:46
%S 1652,2596,2596,3312,1548,3312,5264,1586,1586,5264,9208,1962,1536,
%T 1962,9208,16532,3910,2772,2772,3910,16532,23868,6744,6408,4208,6408,
%U 6744,23868,39884,9830,10662,10266,10266,10662,9830,39884,71752,18590,16848
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum unequal to 4 or 5 and every diagonal and antidiagonal sum equal to 4 or 5
%C Table starts
%C ...1652..2596...3312...5264....9208...16532...23868....39884....71752....133166
%C ...2596..1548...1586...1962....3910....6744....9830....18590....34826.....59814
%C ...3312..1586...1536...2772....6408...10662...16848....35992....68496....124364
%C ...5264..1962...2772...4208...10266...17976...28288....66216...121684....210948
%C ...9208..3910...6408..10266...30504...61686..101508...274648...604412...1157444
%C ..16532..6744..10662..17976...61686..120984..202792...630776..1468994...2840656
%C ..23868..9830..16848..28288..101508..202792..325504..1183404..2519780...4658222
%C ..39884.18590..35992..66216..274648..630776.1183404..4618864.11820480..26443744
%C ..71752.34826..68496.121684..604412.1468994.2519780.11820480.31618896..68114556
%C .133166.59814.124364.210948.1157444.2840656.4658222.26443744.68114556.127303080
%H R. H. Hardin, <a href="/A251905/b251905.txt">Table of n, a(n) for n = 1..644</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 35] for n>45
%F k=2: [order 26] for n>33
%F k=3: [order 26] for n>30
%F k=4: [order 33] for n>37
%F k=5: [order 36] for n>40
%F k=6: [order 44] for n>48
%F k=7: [order 54] for n>58
%e Some solutions for n=4 k=4
%e ..3..3..0..0..2..1....1..0..1..0..2..0....1..2..0..1..1..1....2..0..1..0..1..0
%e ..0..2..1..3..3..0....3..0..3..0..3..0....0..3..0..3..0..3....3..0..3..0..3..0
%e ..3..3..0..0..2..1....3..1..3..2..3..2....2..3..1..3..2..3....3..1..3..2..3..1
%e ..0..2..1..3..3..0....0..2..0..1..0..1....1..0..2..0..1..0....0..2..0..1..0..2
%e ..3..3..0..0..1..2....0..3..0..3..0..3....3..0..3..0..3..0....0..3..0..3..0..3
%e ..0..1..2..3..3..1....2..3..2..3..1..3....2..2..3..2..2..2....1..3..2..3..1..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 10 2014