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R. H. Hardin, <a href="/A239194/b239194.txt">Table of n, a(n) for n = 1..144</a>

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T(n,k)=Number of nXk 0..4 arrays with no element equal to the sum of elements to its left or the sum of the elements above it, modulo 5

4, 12, 12, 40, 120, 40, 128, 1276, 1276, 128, 416, 13128, 43648, 13128, 416, 1344, 136684, 1436268, 1436268, 136684, 1344, 4352, 1416192, 47885992, 151351888, 47885992, 1416192, 4352, 14080, 14700364, 1588084496, 16147220164, 16147220164

1,1

Table starts

.....4.........12.............40.................128.....................416

....12........120...........1276...............13128..................136684

....40.......1276..........43648.............1436268................47885992

...128......13128........1436268...........151351888.............16147220164

...416.....136684.......47885992.........16147220164...........5513429365240

..1344....1416192.....1588084496.......1713928533440........1872818978720764

..4352...14700364....52771184780.....182266933113924......637384123700005952

.14080..152485288..1752250223616...19369216287602148...216766214761274933980

.45568.1582134540.58199143332448.2058887399348279616.73739429314877219107168

Empirical for column k:

k=1: a(n) = 2*a(n-1) +4*a(n-2)

k=2: [order 7]

k=3: [order 32]

Some solutions for n=3 k=4

..1..2..4..3....1..2..2..1....1..2..2..3....1..2..1..1....1..2..2..3

..3..1..3..4....4..1..4..2....2..4..3..2....2..0..0..4....3..1..0..2

..2..4..3..3....2..4..0..0....2..0..3..3....1..3..3..1....2..4..4..3

Column 1 is A087206

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nonn,tabl

R. H. Hardin, Mar 11 2014

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