A251814 Number of (n+2)X(3+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

738, 771, 1754, 5401, 18227, 62457, 213857, 735191, 2535595, 8732059, 30044333, 103433297, 356211437, 1226555559, 4222869527, 14539251609, 50061142057, 172368825829, 593481175903, 2043402198235, 7035653624543, 24224571439559

Offset

1,1

Comments

Column 3 of A251819

Links

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

Formula

Empirical: a(n) = a(n-1) +a(n-2) +13*a(n-3) +31*a(n-4) +43*a(n-5) +25*a(n-6) -64*a(n-7) -125*a(n-8) -49*a(n-9) +79*a(n-10) +119*a(n-11) +20*a(n-12) -53*a(n-13) -42*a(n-14) -12*a(n-15) +6*a(n-16) +4*a(n-17) +4*a(n-18) for n>21

Example

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

Crossrefs

Sequence in context: A218596 A043633 A171641 * A320714 A251647 A337738

Adjacent sequences: A251811 A251812 A251813 * A251815 A251816 A251817

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved