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

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

R. H. Hardin, Table of n, a(n) for n = 1..84

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

Adjacent sequences: A240424 A240425 A240426 * A240428 A240429 A240430

Keyword

nonn,tabl

Author

R. H. Hardin, Apr 04 2014

Status

approved