A251841 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum nonprime and every diagonal and antidiagonal sum prime

872, 1229, 2890, 5860, 18708, 48692, 100973, 328235, 861182, 1788541, 5811485, 15259891, 31702266, 102964722, 270439630, 561937573, 1824434189, 4793021422, 9960951265, 32328609957, 84950562777, 176575774214, 572879745560

Offset

1,1

Comments

Column 4 of A251845

Links

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

Formula

Empirical: a(n) = 41*a(n-3) -521*a(n-6) +2122*a(n-9) -3698*a(n-12) +2906*a(n-15) -927*a(n-18) +157*a(n-21) -89*a(n-24) +10*a(n-27) for n>32

Example

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

Crossrefs

Sequence in context: A031783 A253167 A214285 * A251085 A334011 A206312

Adjacent sequences: A251838 A251839 A251840 * A251842 A251843 A251844

Keyword

nonn

Author

R. H. Hardin, Dec 09 2014

Status

approved