A251459 T(n,k)=Number of (n+1)X(k+1) 0..3 arrays with every 2X2 subblock summing to a prime

114, 856, 856, 6398, 12998, 6398, 47874, 194586, 194586, 47874, 358070, 2922936, 5783416, 2922936, 358070, 2679006, 43856564, 172965058, 172965058, 43856564, 2679006, 20039054, 658509724, 5162094982, 10325081994, 5162094982, 658509724

Offset

1,1

Comments

Table starts

......114........856..........6398............47874..............358070

......856......12998........194586..........2922936............43856564

.....6398.....194586.......5783416........172965058..........5162094982

....47874....2922936.....172965058......10325081994........614533146306

...358070...43856564....5162094982.....614533146306......72875563626720

..2679006..658509724..154267520858...36647302556482....8664203110893480

.20039054.9883202426.4606843590302.2183158464447536.1028696788230851944

Links

R. H. Hardin, Table of n, a(n) for n = 1..112

Formula

Empirical for column k:

k=1: [linear recurrence of order 7]

k=2: [order 22]

k=3: [order 99]

Example

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

Crossrefs

Sequence in context: A126169 A324708 A353746 * A251452 A239570 A002952

Adjacent sequences: A251456 A251457 A251458 * A251460 A251461 A251462

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 02 2014

Status

approved