A251509 Number of (n+1)X(2+1) 0..4 arrays with every 2X2 subblock summing to a prime

2264, 45470, 915152, 18567350, 376244106, 7639226604, 154952279458, 3146594605076, 63848094348452, 1296601032070086, 26315008742183990, 534392066090620644, 10847117570755931818, 220273420818183080412

Offset

1,1

Comments

Column 2 of A251515

Links

R. H. Hardin, Table of n, a(n) for n = 1..210

Formula

Empirical: a(n) = 25*a(n-1) +462*a(n-2) -14590*a(n-3) -42265*a(n-4) +2910978*a(n-5) -3478794*a(n-6) -294784210*a(n-7) +909692634*a(n-8) +17416731052*a(n-9) -74831549442*a(n-10) -635489544134*a(n-11) +3398784783033*a(n-12) +14502751788871*a(n-13) -96063953129051*a(n-14) -200128268354324*a(n-15) +1770329159309660*a(n-16) +1413696179854848*a(n-17) -21688578534719868*a(n-18) +474179661910776*a(n-19) +176953098557122256*a(n-20) -102811657229884128*a(n-21) -946447289145188000*a(n-22) +936421248879236608*a(n-23) +3191547698036515584*a(n-24) -4219264554048107008*a(n-25) -6271068576793766400*a(n-26) +10431637502838784000*a(n-27) +6027014589240266752*a(n-28) -13554429422684160000*a(n-29) -1359558313948348416*a(n-30) +8097473146466598912*a(n-31) -1175451099051589632*a(n-32) -1511875462953959424*a(n-33) +283461546053468160*a(n-34) +12892020796293120*a(n-35)

Example

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

Crossrefs

Sequence in context: A251678 A231245 A046168 * A263972 A263963 A272376

Adjacent sequences: A251506 A251507 A251508 * A251510 A251511 A251512

Keyword

nonn

Author

R. H. Hardin, Dec 03 2014

Status

approved