A251467 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column

46, 168, 168, 602, 738, 602, 1908, 3142, 3142, 1908, 5926, 11134, 15719, 11134, 5926, 17424, 38509, 62309, 62309, 38509, 17424, 50306, 120982, 239572, 268559, 239572, 120982, 50306, 141792, 373380, 809934, 1125843, 1125843, 809934, 373380, 141792

Offset

1,1

Comments

Table starts

......46.....168......602......1908.......5926.......17424.......50306

.....168.....738.....3142.....11134......38509......120982......373380

.....602....3142....15719.....62309.....239572......809934.....2678350

....1908...11134....62309....268559....1125843.....4053903....14306546

....5926...38509...239572...1125843....5145888....19854533....75006354

...17424..120982...809934...4053903...19854533....80967696...324243821

...50306..373380..2678350..14306546...75006354...324243821..1378354755

..141792.1094071..8222849..46070347..255126617..1156109395..5171467239

..392326.3155436.24796090.145984578..853011914..4058563375.19112759465

.1077744.8863194.71644353.437418593.2668157253.13208174936.64992838581

Links

R. H. Hardin, Table of n, a(n) for n = 1..144

Formula

Empirical for column k:

k=1: [linear recurrence of order 11]

k=2: [order 36]

k=3: [order 61]

k=4: [order 77]

Example

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

Crossrefs

Sequence in context: A223607 A189809 A350556 * A251460 A235767 A192850

Adjacent sequences: A251464 A251465 A251466 * A251468 A251469 A251470

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2014

Status

approved