A251515 T(n,k)=Number of (n+1)X(k+1) 0..4 arrays with every 2X2 subblock summing to a prime

234, 2264, 2264, 21862, 45470, 21862, 211680, 915152, 915152, 211680, 2047194, 18567350, 38529532, 18567350, 2047194, 19818328, 376244106, 1644478410, 1644478410, 376244106, 19818328, 191708742, 7639226604, 70039777210

Offset

1,1

Comments

Table starts

.......234.........2264...........21862.............211680..............2047194

......2264........45470..........915152...........18567350............376244106

.....21862.......915152........38529532.........1644478410..........70039777210

....211680.....18567350......1644478410.......148463964846.......13364799461286

...2047194....376244106.....70039777210.....13364799461286.....2540293097889030

..19818328...7639226604...2992599553368...1208313756081050...485520243093380470

.191708742.154952279458.127661562848818.109013443872596196.92544866490813863710

Links

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

Formula

Empirical for column k:

k=1: [linear recurrence of order 9]

k=2: [order 35]

Example

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

Crossrefs

Sequence in context: A252338 A252777 A252771 * A251508 A185482 A036209

Adjacent sequences: A251512 A251513 A251514 * A251516 A251517 A251518

Keyword

nonn,tabl

Author

R. H. Hardin, Dec 03 2014

Status

approved