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%I #4 Dec 15 2014 08:28:18
%S 2680,4743,4743,9312,5178,9312,19794,17276,17276,19794,51024,44322,
%T 110128,44322,51024,125554,215814,332462,332462,215814,125554,278710,
%U 932474,2908856,1180226,2908856,932474,278710,763726,2568954,22430534
%N T(n,k)=Number of (n+2)X(k+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 1 3 4 6 or 7
%C Table starts
%C ....2680......4743........9312.......19794..........51024..........125554
%C ....4743......5178.......17276.......44322.........215814..........932474
%C ....9312.....17276......110128......332462........2908856........22430534
%C ...19794.....44322......332462.....1180226.......11207238........84935426
%C ...51024....215814.....2908856....11207238......193004794......2778728210
%C ..125554....932474....22430534....84935426.....2778728210.....78534150994
%C ..278710...2568954....65275092...301990806....10519316686....267361717782
%C ..763726..12883538...634915114..2868905558...185237248134...9906342079298
%C .1944090..56985498..5227154036.21743274306..2757905885304.303070072293522
%C .4393122.157484310.14646511730.77309414066.10320806426406.959873651074130
%H R. H. Hardin, <a href="/A252210/b252210.txt">Table of n, a(n) for n = 1..480</a>
%F Empirical for column k:
%F k=1: [linear recurrence of order 21] for n>26
%F k=2: [order 21] for n>25
%F k=3: [order 21] for n>24
%F k=4: a(n) = 260*a(n-3) -1023*a(n-6) -260*a(n-9) +1024*a(n-12) for n>15
%F k=5: [order 21] for n>24
%F k=6: [order 21] for n>24
%F k=7: a(n) = 4104*a(n-3) -32767*a(n-6) -4104*a(n-9) +32768*a(n-12) for n>15
%e Some solutions for n=3 k=4
%e ..0..1..3..0..1..3....1..0..3..1..3..0....2..1..1..2..1..1....0..1..3..3..1..0
%e ..3..1..0..3..1..3....3..2..2..3..2..2....1..3..0..1..0..0....0..1..0..3..1..0
%e ..1..2..1..1..2..1....0..2..2..3..2..2....1..0..0..1..0..0....1..2..1..1..2..1
%e ..0..1..3..0..1..0....1..0..3..1..3..3....2..1..1..2..1..1....0..1..0..3..1..0
%e ..0..1..0..0..1..3....3..2..2..0..2..2....1..3..3..1..3..0....3..1..3..3..1..3
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Dec 15 2014
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