A224034 Number of nX4 0..1 arrays with antidiagonals unimodal and rows and diagonals nondecreasing

5, 19, 58, 168, 488, 1422, 4160, 12214, 35960, 106072, 313246, 925694, 2736638, 8092056, 23930330, 70772252, 209309684, 619043562, 1830861726, 5414905178, 16014983408, 47365507554, 140087012360, 414317718488, 1225375238694

Offset

1,1

Comments

Column 4 of A224038

Links

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

Formula

Empirical: a(n) = 5*a(n-1) -6*a(n-2) -a(n-3) +2*a(n-4) +2*a(n-5) -2*a(n-6) +4*a(n-7)

Example

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

Crossrefs

Sequence in context: A201082 A109415 A029861 * A107179 A378049 A332720

Adjacent sequences: A224031 A224032 A224033 * A224035 A224036 A224037

Keyword

nonn

Author

R. H. Hardin Mar 30 2013

Status

approved