%I #4 Apr 22 2014 07:04:28
%S 2,3,3,4,5,4,7,10,2,7,10,21,22,3,10,15,45,74,97,5,15,24,88,158,515,
%T 213,6,24,35,181,448,1563,1527,381,9,35,54,378,1272,5915,7495,5304,
%U 1005,10,54,83,710,3284,22712,45139,37148,20690,1900,15,83,124,1460,8331,76145
%N T(n,k)=Number of nXk 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest or one plus the sum of the elements antidiagonally to its northeast, modulo 4
%C Table starts
%C ..2..3.....4......7.......10.........15..........24..........35..........54
%C ..3..5....10.....21.......45.........88.........181.........378.........710
%C ..4..2....22.....74......158........448........1272........3284........8331
%C ..7..3....97....515.....1563.......5915.......22712.......76145......270960
%C .10..5...213...1527.....7495......45139......282527.....1304136.....6927135
%C .15..6...381...5304....37148.....377314.....4122537....29425635...269064197
%C .24..9..1005..20690...218885....4136727....79901137..1058201862.16609740868
%C .35.10..1900..61348..1059975...34541924..1231102996.34796682706
%C .54.15..4137.257119..7257895..418453966.26880310825
%C .83.21.10518.920918.44141371.4088141292
%H R. H. Hardin, <a href="/A241435/b241435.txt">Table of n, a(n) for n = 1..126</a>
%F Empirical for column k:
%F k=1: a(n) = a(n-2) +2*a(n-3)
%F k=2: [order 11] for n>13
%F Empirical for row n:
%F n=1: a(n) = a(n-2) +2*a(n-3)
%F n=2: [order 22] for n>24
%e Some solutions for n=4 k=4
%e ..2..2..3..3....2..2..3..3....2..2..3..2....3..2..3..2....3..2..3..2
%e ..2..1..3..2....2..1..1..2....2..1..1..0....2..1..1..0....2..1..1..2
%e ..3..1..0..0....3..3..0..0....3..1..0..2....3..1..3..2....3..1..2..2
%e ..2..0..0..0....2..2..2..0....3..2..0..0....3..2..1..2....2..0..0..0
%Y Column and row 1 are A159288(n+1)
%K nonn,tabl
%O 1,1
%A _R. H. Hardin_, Apr 22 2014
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