A239194 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

Offset: 1

Author

R. H. Hardin, Mar 11 2014

Keywords

• nonn
• tabl

Comments

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

Examples

			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
		

Links

• R. H. Hardin, Table of n, a(n) for n = 1..144

Crossrefs

Column 1 is A087206

Formula

Empirical for column k:

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

k=2: [order 7]

k=3: [order 32]