A250580 Number of (n+1)X(5+1) 0..1 arrays with nondecreasing max(x(i,j),x(i,j-1)) in the i direction and nondecreasing min(x(i,j),x(i-1,j)) in the j direction

282, 758, 1779, 4013, 8914, 19806, 44104, 98902, 222987, 506145, 1154234, 2644847, 6079586, 14016928, 32378102, 74921678, 173549426, 402401946, 933565065, 2166994001, 5031542164, 11686029668, 27145660442, 63066542163, 146531950506

Offset

1,1

Comments

Column 5 of A250583

Links

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

Formula

Empirical: a(n) = 7*a(n-1) -15*a(n-2) -4*a(n-3) +64*a(n-4) -90*a(n-5) +9*a(n-6) +94*a(n-7) -96*a(n-8) +31*a(n-9) +6*a(n-10) -6*a(n-11) +a(n-12) for n>14

Example

Some solutions for n=6
..0..0..0..0..0..0....0..0..1..0..0..0....0..0..0..0..0..0....0..0..0..0..0..0
..0..0..0..0..1..1....0..1..0..1..1..1....0..0..0..0..0..0....0..0..0..0..0..1
..0..0..0..0..1..1....1..0..1..1..1..1....0..0..0..0..0..1....0..0..0..0..0..1
..0..0..0..0..1..1....0..1..1..1..1..1....0..0..0..0..0..1....0..0..0..0..0..1
..1..0..1..1..1..1....1..1..1..1..1..1....0..0..1..1..1..1....0..0..0..1..1..1
..0..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1....0..0..0..1..1..1
..1..0..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....0..0..1..1..1..1

Crossrefs

Sequence in context: A320706 A356854 A114804 * A252364 A345704 A224115

Adjacent sequences: A250577 A250578 A250579 * A250581 A250582 A250583

Keyword

nonn

Author

R. H. Hardin, Nov 25 2014

Status

approved