A251481 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to a prime and those sums nondecreasing in every row and column

114, 586, 586, 2908, 3904, 2908, 12670, 24182, 24182, 12670, 54344, 123739, 183485, 123739, 54344, 218854, 609565, 1096596, 1096596, 609565, 218854, 874280, 2696488, 6216665, 7485767, 6216665, 2696488, 874280, 3378058, 11697274, 30592799

Offset

1,1

Comments

Table starts

......114.......586........2908........12670........54344.......218854

......586......3904.......24182.......123739.......609565......2696488

.....2908.....24182......183485......1096596......6216665.....30592799

....12670....123739.....1096596......7485767.....48046512....261990105

....54344....609565.....6216665.....48046512....347024304...2095872247

...218854...2696488....30592799....261990105...2095872247..13874159417

...874280..11697274...146035292...1374831443..12096838874..87400242458

..3378058..47575204...638001419...6492635940..62069543650.484930994600

.12982168.191527226..2737224051..29922945960.308909778915

.48990334.740673411.11079334278.128376366657

Links

R. H. Hardin, Table of n, a(n) for n = 1..97

Formula

Empirical for column k:

k=1: [linear recurrence of order 16]

k=2: [order 61]

k=3: [order 99]

Example

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

Crossrefs

Sequence in context: A323758 A043403 A122279 * A251475 A292980 A126169

Adjacent sequences: A251478 A251479 A251480 * A251482 A251483 A251484

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2014

Status

approved