A251410 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock summing to a prime

46, 238, 238, 1230, 2164, 1230, 6370, 19654, 19654, 6370, 32954, 179400, 313396, 179400, 32954, 170634, 1634286, 5037428, 5037428, 1634286, 170634, 883018, 14919346, 80717134, 143030000, 80717134, 14919346, 883018, 4571514, 136033976

Offset

1,1

Comments

Table starts

.....46.......238........1230..........6370...........32954............170634

....238......2164.......19654........179400.........1634286..........14919346

...1230.....19654......313396.......5037428........80717134........1297591952

...6370....179400.....5037428.....143030000......4043668176......114835717382

..32954...1634286....80717134....4043668176....201479453052....10095883183064

.170634..14919346..1297591952..114835717382..10095883183064...893724081215818

.883018.136033976.20821486740.3252989390702.504304720898814.78814651407482114

Links

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

Formula

Empirical for column k:

k=1: a(n) = 2*a(n-1) +21*a(n-2) -14*a(n-3) -52*a(n-4) +12*a(n-5)

k=2: [order 12]

k=3: [order 37]

Example

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

Crossrefs

Sequence in context: A254229 A234161 A234154 * A251403 A026913 A244744

Adjacent sequences: A251407 A251408 A251409 * A251411 A251412 A251413

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2014

Status

approved