A251945 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

1933, 1251, 2272, 3572, 8756, 21326, 47034, 116348, 285990, 648986, 1600960, 3954974, 9038718, 22223456, 55101272, 126511418, 310210760, 771368188, 1777412512, 4348909608, 10838707484, 25045428046, 61176606276, 152743298468

Offset

1,1

Comments

Column 3 of A251950

Links

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

Formula

Empirical: a(n) = 26*a(n-3) -181*a(n-6) +246*a(n-9) -854*a(n-12) +1447*a(n-15) -1905*a(n-18) +2336*a(n-21) -2643*a(n-24) +1561*a(n-27) -32*a(n-30) for n>33

Example

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

Crossrefs

Sequence in context: A221015 A227491 A277943 * A340843 A270265 A237010

Adjacent sequences: A251942 A251943 A251944 * A251946 A251947 A251948

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved