A251567 T(n,k)=Number of (n+1)X(k+1) 0..7 arrays with every 2X2 subblock summing to a prime

1370, 29476, 29476, 634130, 1720558, 634130, 13645310, 100477236, 100477236, 13645310, 293605794, 5871247808, 15941867804, 5871247808, 293605794, 6317788810, 343048858208, 2532196250950, 2532196250950, 343048858208

Offset

1,1

Comments

Table starts

..........1370.............29476.................634130................13645310

.........29476...........1720558..............100477236..............5871247808

........634130.........100477236............15941867804...........2532196250950

......13645310........5871247808..........2532196250950........1093964209592036

.....293605794......343048858208........402177783997408......472585276023176018

....6317788810....20045964354544......63887515354394210...204207519091414400944

..135943372394..1171337430239996...10148236457554340550.88233636477075790007750

.2925210367882.68446666138149356.1612097555345198160542

Links

R. H. Hardin, Table of n, a(n) for n = 1..60

Formula

Empirical for column k:

k=1: [linear recurrence of order 14]

k=2: [order 83]

Example

Some solutions for n=1 k=4
..4..2..0..7..6....4..0..0..4..2....4..0..0..5..7....0..0..0..6..2
..1..0..0..4..2....3..0..7..0..7....7..2..0..0..7....7..6..1..4..5

Crossrefs

Sequence in context: A045107 A031752 A031662 * A251562 A059082 A178485

Adjacent sequences: A251564 A251565 A251566 * A251568 A251569 A251570

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 04 2014

Status

approved