A253538 Number of (n+2)X(2+2) 0..1 arrays with every 3X3 subblock diagonal maximum minus antidiagonal minimum nonincreasing horizontally and nondecreasing vertically

3328, 33568, 317696, 2801200, 24576256, 212432512, 1834356992, 15757354000, 135327129856, 1160905055456, 9961373970688, 85451698082544, 733064872902912, 6288070321166400, 53938785323602176, 462674442188361424

Offset

1,1

Comments

Column 2 of A253544

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -37*a(n-2) -95*a(n-3) +1181*a(n-4) -3897*a(n-5) +1721*a(n-6) -11813*a(n-7) +86096*a(n-8) -17360*a(n-9) -280192*a(n-10) +266368*a(n-11) -103680*a(n-12) +1683712*a(n-13) -11894784*a(n-14) +12763136*a(n-15) +24772608*a(n-16) -31457280*a(n-17) -12582912*a(n-18) +16777216*a(n-19)

Example

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

Crossrefs

Sequence in context: A252510 A253872 A253865 * A147881 A230307 A043504

Adjacent sequences: A253535 A253536 A253537 * A253539 A253540 A253541

Keyword

nonn

Author

R. H. Hardin, Jan 03 2015

Status

approved