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%I #4 Apr 03 2014 22:25:35
%S 2,2,2,4,5,4,6,17,17,6,8,37,116,37,8,14,80,455,455,80,14,20,213,1677,
%T 3374,1677,213,20,30,443,8091,21455,21455,8091,443,30,48,1028,28448,
%U 189549,247187,189549,28448,1028,48,70,2511,117304,1190246,3898804
%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 zero plus the sum of the elements above it or one plus the sum of the elements diagonally to its northwest, modulo 4
%C Table starts
%C ..2....2.......4.........6............8............14............20
%C ..2....5......17........37...........80...........213...........443
%C ..4...17.....116.......455.........1677..........8091.........28448
%C ..6...37.....455......3374........21455........189549.......1190246
%C ..8...80....1677.....21455.......247187.......3898804......43979526
%C .14..213....8091....189549......3898804.....113751796....2343565571
%C .20..443...28448...1190246.....43979526....2343565571...88562956949
%C .30.1028..117304...8903613....602874070...58754628922.4085612680937
%C .48.2511..513841..70945972...8649395684.1550370290554
%C .70.5370.1871262.460466581.101952716878
%H R. H. Hardin, <a href="/A240327/b240327.txt">Table of n, a(n) for n = 1..111</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-2) +2*a(n-3)
%F k=2: [order 13] for n>14
%e Some solutions for n=4 k=4
%e ..3..2..3..2....3..2..3..3....2..3..3..2....3..2..2..2....3..2..3..2
%e ..2..1..2..3....2..1..2..2....3..0..1..3....2..1..1..1....2..3..2..1
%e ..3..1..3..2....3..2..2..0....3..1..1..2....3..0..2..2....3..0..0..2
%e ..2..3..2..2....3..2..2..2....2..3..3..2....3..2..2..2....3..2..0..0
%Y Column 1 is A239851
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Apr 03 2014
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