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A240412 T(n,k)=Number of nXk 0..3 arrays with no element equal to zero 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, modulo 4 11

%I

%S 2,2,5,4,10,11,6,32,33,25,8,80,202,139,57,14,162,846,1526,529,129,20,

%T 493,3035,11670,10749,2105,293,30,1109,17075,74655,148536,79090,8258,

%U 665,48,2656,65790,773196,1765436,2051450,573490,32480,1509,70,7235,283052

%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 one plus the sum of the elements above it or zero plus the sum of the elements diagonally to its northwest, modulo 4

%C Table starts

%C ....2......2.........4...........6............8............14............20

%C ....5.....10........32..........80..........162...........493..........1109

%C ...11.....33.......202.........846.........3035.........17075.........65790

%C ...25....139......1526.......11670........74655........773196.......5429095

%C ...57....529.....10749......148536......1765436......33373526.....425530595

%C ..129...2105.....79090.....2051450.....45245148....1615637679...38249442962

%C ..293...8258....573490....27295809...1123774316...74389514201.3275332362582

%C ..665..32480...4185321...377924479..29595088887.3790596926634

%C .1509.127944..30488162..5090700587.749274246946

%C .3425.503372.222232658.70407569019

%H R. H. Hardin, <a href="/A240412/b240412.txt">Table of n, a(n) for n = 1..98</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 14]

%F Empirical for row n:

%F n=1: a(n) = a(n-2) +2*a(n-3)

%F n=2: [order 15] for n>16

%e Some solutions for n=4 k=4

%e ..3..2..2..2....3..2..3..2....3..2..3..2....2..3..3..2....3..2..3..3

%e ..3..0..0..0....1..2..1..2....1..0..3..2....2..3..2..2....2..1..1..1

%e ..2..0..0..1....3..2..2..2....3..0..0..0....2..0..0..3....3..1..2..0

%e ..3..0..1..2....3..1..1..2....1..2..0..2....2..0..1..2....3..0..0..0

%Y Column 1 is A239812

%Y Row 1 is A239851

%K nonn,tabl

%O 1,1

%A _R. H. Hardin_, Apr 04 2014

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Last modified August 19 18:51 EDT 2019. Contains 326133 sequences. (Running on oeis4.)