A251813 Number of (n+2)X(2+2) 0..2 arrays with every row, column, diagonal or antidiagonal in each 3X3 subblock summing to a prime

500, 538, 771, 1511, 3501, 9040, 24411, 66516, 182350, 501847, 1381865, 3805521, 10483208, 28880671, 79563282, 219191950, 603867313, 1663633281, 4583249193, 12626700608, 34786146677, 95834675528, 264021359180, 727370137909

Offset

1,1

Comments

Column 2 of A251819

Links

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

Formula

Empirical: a(n) = a(n-1) +2*a(n-2) +9*a(n-3) +2*a(n-4) -5*a(n-5) -23*a(n-6) -14*a(n-7) +2*a(n-8) +25*a(n-9) +20*a(n-10) +4*a(n-11) -12*a(n-12) -11*a(n-13) -4*a(n-14) +2*a(n-15) +2*a(n-16) +a(n-17) for n>25

Example

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

Crossrefs

Sequence in context: A214191 A132475 A220024 * A372147 A372864 A045215

Adjacent sequences: A251810 A251811 A251812 * A251814 A251815 A251816

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved