A251475 Number of (n+1)X(1+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column.

114, 586, 2908, 12670, 54344, 218854, 874280, 3378058, 12982168, 48990334, 184002984, 684371770, 2533034424, 9331611118, 34194048808, 125124256330, 455164143992, 1657208404702, 5994854678120, 21741111638170, 78297688018744

Offset

1,1

Comments

Column 1 of A251481

Links

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

Formula

Empirical: a(n) = 47*a(n-2) -908*a(n-4) +9400*a(n-6) -57072*a(n-8) +208368*a(n-10) -447552*a(n-12) +518400*a(n-14) -248832*a(n-16)

Example

Some solutions for n=4
..1..1....0..1....3..0....1..0....1..3....0..2....0..1....1..0....1..0....0..3
..3..0....0..1....0..2....1..1....1..0....3..0....2..0....1..1....2..0....0..0
..1..3....3..1....1..2....0..3....1..3....2..2....0..1....1..0....1..0....0..3
..3..0....1..0....0..2....1..3....1..0....3..0....3..3....2..2....1..1....0..0
..3..1....1..3....2..1....0..3....3..1....2..2....2..3....2..1....0..3....0..3

Crossrefs

Sequence in context: A043403 A122279 A251481 * A292980 A126169 A324708

Adjacent sequences: A251472 A251473 A251474 * A251476 A251477 A251478

Keyword

nonn

Author

R. H. Hardin, Dec 02 2014

Status

approved