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A240427
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 one plus the sum of the elements diagonally to its northwest, modulo 4
5
3, 7, 7, 16, 35, 16, 38, 151, 151, 38, 90, 684, 1312, 684, 90, 212, 3140, 11573, 11573, 3140, 212, 500, 14357, 103021, 203213, 103021, 14357, 500, 1180, 65592, 917629, 3577618, 3577618, 917629, 65592, 1180, 2784, 299916, 8183512, 63110993
OFFSET
1,1
COMMENTS
Table starts
....3.......7.........16...........38............90............212
....7......35........151..........684..........3140..........14357
...16.....151.......1312........11573........103021.........917629
...38.....684......11573.......203213.......3577618.......63110993
...90....3140.....103021......3577618.....125356095.....4404092335
..212...14357.....917629.....63110993....4404092335...309034856157
..500...65592....8183512...1115948342..155205128280.21764140662553
.1180..299916...73035143..19752407566.5477493001109
.2784.1371831..652120094.349830659344
.6568.6274812.5824185148
LINKS
FORMULA
Empirical for column k:
k=1: a(n) = 2*a(n-1) +2*a(n-3)
k=2: [order 26]
EXAMPLE
Some solutions for n=3 k=4
..2..2..0..2....3..2..3..2....2..2..2..0....2..2..2..2....2..0..2..0
..2..2..2..0....3..1..2..1....2..0..2..2....2..0..2..2....2..2..2..2
..0..0..0..0....2..2..3..2....2..0..2..2....2..0..2..2....3..2..0..1
CROSSREFS
Column 1 is A239040
Sequence in context: A098581 A238997 A240260 * A239047 A229521 A263337
KEYWORD
nonn,tabl
AUTHOR
R. H. Hardin, Apr 04 2014
STATUS
approved