A239041 Number of nX2 0..3 arrays with no element equal to one plus the sum of elements to its left or one plus the sum of elements above it, modulo 4

7, 41, 218, 1187, 6524, 35683, 194936, 1065802, 5827642, 31860101, 174181686, 952284895, 5206307168, 28463699289, 155615648162, 850776208722, 4651331810246, 25429586046868, 139027679384545, 760086916112708

Offset

1,1

Comments

Column 2 of A239047

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 9*a(n-1) -28*a(n-2) +74*a(n-3) -181*a(n-4) +236*a(n-5) -261*a(n-6) +234*a(n-7) +200*a(n-8) -279*a(n-9) +104*a(n-10) -268*a(n-11) -36*a(n-12) +156*a(n-13) +104*a(n-14) -32*a(n-15) -16*a(n-16)

Example

Some solutions for n=5
..0..2....0..2....0..0....0..3....3..3....2..0....0..2....0..2....3..2....3..3
..3..1....2..1....3..3....2..1....2..1....2..0....0..0....3..2....2..2....3..1
..3..1....2..1....2..1....0..0....0..2....2..0....2..0....3..2....0..2....2..0
..0..3....2..0....3..3....0..3....0..2....2..2....2..2....2..1....3..2....2..0
..0..3....0..0....2..2....2..1....3..3....0..0....0..2....3..1....0..0....0..3

Crossrefs

Sequence in context: A237664 A168584 A191010 * A081625 A144635 A097165

Adjacent sequences: A239038 A239039 A239040 * A239042 A239043 A239044

Keyword

nonn

Author

R. H. Hardin, Mar 09 2014

Status

approved