A235674 Number of (n+1)X(3+1) 0..1 arrays with the difference between each 2X2 subblock maximum and minimum lexicographically nondecreasing columnwise and nonincreasing rowwise

208, 2456, 28584, 330840, 3824528, 44196144, 510685176, 5900818062, 68181837738, 787815537064, 9102909355490, 105180650740834, 1215322331681740, 14042586259073748, 162256730906114932, 1874814669334245592

Offset

1,1

Comments

Column 3 of A235679

Links

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

Formula

Empirical: a(n) = 13*a(n-1) -7*a(n-2) -120*a(n-3) +60*a(n-4) +376*a(n-5) -111*a(n-6) -477*a(n-7) +47*a(n-8) +216*a(n-9) +20*a(n-10) -16*a(n-11)

Example

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

Crossrefs

Sequence in context: A230934 A236272 A184681 * A235444 A255074 A172967

Adjacent sequences: A235671 A235672 A235673 * A235675 A235676 A235677

Keyword

nonn

Author

R. H. Hardin, Jan 13 2014

Status

approved