A253307 Number of (n+1)X(1+1) 0..2 arrays with every 2X2 subblock diagonal maximum minus antidiagonal maximum unequal to its neighbors horizontally, vertically, diagonally and antidiagonally

81, 518, 3550, 23524, 157476, 1051870, 7027770, 46953514, 313711862, 2095963398, 14003608312, 93561234452, 625103107952, 4176451826546, 27903796991886, 186431421801416, 1245589462955974, 8322058035168122, 55601505834527494

Offset

1,1

Comments

Column 1 of A253314

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +14*a(n-2) +57*a(n-3) +79*a(n-4) +73*a(n-5) +99*a(n-6) -14*a(n-7) +48*a(n-8) -24*a(n-9) +32*a(n-10) for n>11

Example

Some solutions for n=4
..1..0....2..2....1..1....2..2....1..1....2..1....2..0....2..2....1..0....0..2
..1..2....0..1....2..0....1..1....0..0....2..1....1..1....1..0....2..1....0..2
..0..2....2..1....1..1....0..2....2..0....1..0....1..0....0..1....1..2....2..1
..2..1....1..2....0..0....2..1....0..1....2..0....1..2....2..0....2..1....0..2
..1..2....0..2....1..2....1..2....0..2....2..1....0..0....1..1....2..2....0..2

Crossrefs

Sequence in context: A253731 A236658 A236641 * A235784 A235565 A235560

Adjacent sequences: A253304 A253305 A253306 * A253308 A253309 A253310

Keyword

nonn

Author

R. H. Hardin, Dec 30 2014

Status

approved