A251844 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime

2784, 9647, 40492, 100973, 616922, 2726048, 6811452, 41181626, 182794163, 457065675, 2755684055, 12239107983, 30610006209, 184445367947, 819388421574, 2049720229955, 12346166194821, 54857889018442, 137257302547126

Offset

1,1

Comments

Column 7 of A251845

Links

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

Formula

Empirical: a(n) = 165*a(n-3) -9038*a(n-6) +195335*a(n-9) -2203601*a(n-12) +15341600*a(n-15) -73455549*a(n-18) +243919138*a(n-21) -516775060*a(n-24) +667463786*a(n-27) -513879699*a(n-30) +227087898*a(n-33) -48471310*a(n-36) -184440*a(n-39) -299304*a(n-42) +1669248*a(n-45) -399168*a(n-48) for n>56

Example

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

Crossrefs

Sequence in context: A251200 A188415 A236125 * A237230 A206516 A119377

Adjacent sequences: A251841 A251842 A251843 * A251845 A251846 A251847

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved