A251562 Number of (n+1)X(1+1) 0..7 arrays with every 2X2 subblock summing to a prime

1370, 29476, 634130, 13645310, 293605794, 6317788810, 135943372394, 2925210367882, 62943768374994, 1354414020937618, 29143904618268426, 627113753199624042, 13494065168624545378, 290363042729285779778

Offset

1,1

Comments

Column 1 of A251567

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +683*a(n-2) -1190*a(n-3) -118654*a(n-4) +194244*a(n-5) +6910296*a(n-6) -10802232*a(n-7) -90489056*a(n-8) +131731584*a(n-9) +397649376*a(n-10) -495556416*a(n-11) -655135488*a(n-12) +561254400*a(n-13) +325140480*a(n-14)

Example

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

Crossrefs

Sequence in context: A031752 A031662 A251567 * A059082 A178485 A031535

Adjacent sequences: A251559 A251560 A251561 * A251563 A251564 A251565

Keyword

nonn

Author

R. H. Hardin, Dec 04 2014

Status

approved