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%I #4 Mar 23 2014 07:03:18
%S 2,4,4,8,20,10,16,92,112,22,32,418,1182,560,50,64,1898,12246,13476,
%T 2874,114,128,8588,127454,320314,158728,14788,258,256,38888,1320102,
%U 7629186,8634040,1864886,75540,586,512,175974,13703468,181039448,471203608
%N T(n,k)=Number of nXk 0..3 arrays with no element equal to zero plus the sum of elements to its left or two plus the sum of the elements above it, modulo 4
%C Table starts
%C ....2.......4..........8............16...............32...................64
%C ....4......20.........92...........418.............1898.................8588
%C ...10.....112.......1182.........12246...........127454..............1320102
%C ...22.....560......13476........320314..........7629186............181039448
%C ...50....2874.....158728.......8634040........471203608..........25594620082
%C ..114...14788....1864886.....232304146......29007348454........3608789598890
%C ..258...75540...21813374....6219477628....1778793691226......506611939408296
%C ..586..387306..255830770..167002115382..109328664988704....71303275040032094
%C .1330.1983686.2997975560.4480024646968.6715782662219974.10028169382114414238
%H R. H. Hardin, <a href="/A239649/b239649.txt">Table of n, a(n) for n = 1..180</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-1) +2*a(n-2) +2*a(n-3)
%F k=2: [order 10]
%F k=3: [order 35]
%F Empirical for row n:
%F n=1: a(n) = 2*a(n-1)
%F n=2: a(n) = 3*a(n-1) +12*a(n-2) -18*a(n-3) -29*a(n-4) +19*a(n-5) +38*a(n-6) +8*a(n-7)
%F n=3: [order 25]
%F n=4: [order 91]
%e Some solutions for n=3 k=4
%e ..3..1..3..1....3..0..1..3....1..0..3..3....3..0..0..0....1..0..3..3
%e ..2..1..2..0....2..1..1..2....1..0..3..3....2..0..3..0....1..3..2..0
%e ..1..3..1..0....2..1..1..1....1..0..3..3....2..1..2..3....1..0..0..0
%Y Column 1 is A078040
%Y Row 1 is A000079
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Mar 23 2014
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