A254085 Number of (n+2)X(1+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal maximum nondecreasing horizontally, vertically and ne-to-sw antidiagonally

512, 3436, 22728, 148004, 977192, 6446656, 42580424, 281186200, 1857372144, 12268544428, 81040372600, 535313103052, 3536037360504, 23357456516908, 154288871288536, 1019162914084204, 6732132852099864, 44469447874930540

Offset

1,1

Comments

Column 1 of A254092

Links

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

Formula

Empirical: a(n) = 6*a(n-1) +7*a(n-2) -18*a(n-3) +14*a(n-4) -156*a(n-5) -116*a(n-6) +72*a(n-7) +32*a(n-8) +96*a(n-9) +64*a(n-10) for n>17

Example

Some solutions for n=4
..0..0..1....0..1..1....0..1..1....0..0..1....0..0..1....0..0..1....1..0..0
..1..0..1....0..0..0....0..0..0....0..1..0....1..0..1....1..0..0....1..1..1
..0..0..0....1..0..1....1..1..0....1..1..0....1..1..1....1..1..0....1..1..0
..1..0..1....0..0..0....1..0..1....1..0..0....0..0..0....0..1..0....1..1..0
..0..1..0....0..0..1....1..0..1....0..0..0....0..1..0....1..0..1....1..0..0
..1..0..1....1..0..1....1..0..1....0..0..0....0..0..1....0..0..0....0..1..1

Crossrefs

Sequence in context: A250574 A016995 A254092 * A197710 A198074 A197908

Adjacent sequences: A254082 A254083 A254084 * A254086 A254087 A254088

Keyword

nonn

Author

R. H. Hardin, Jan 25 2015

Status

approved