A251948 Number of (n+2)X(6+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

7115, 7348, 21326, 68456, 285399, 1086474, 3678858, 15275433, 58358828, 199425794, 822991437, 3164755490, 10882904022, 44661659875, 172688623754, 596827533076, 2438379895401, 9469083712612, 32856793099878, 133766874800053

Offset

1,1

Comments

Column 6 of A251950

Links

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

Formula

Empirical: a(n) = 100*a(n-3) -2640*a(n-6) +14377*a(n-9) -283002*a(n-12) +1394361*a(n-15) -14303615*a(n-18) +61985067*a(n-21) -373679613*a(n-24) +968375447*a(n-27) -3510455508*a(n-30) +1871085683*a(n-33) +5203984341*a(n-36) -3657215687*a(n-39) -2831341163*a(n-42) +2182295985*a(n-45) +688162222*a(n-48) -563292855*a(n-51) -92885862*a(n-54) +49856592*a(n-57) +18857061*a(n-60) -2526078*a(n-63) -25212*a(n-66) for n>69

Example

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

Crossrefs

Sequence in context: A189354 A252383 A252350 * A269040 A325066 A100539

Adjacent sequences: A251945 A251946 A251947 * A251949 A251950 A251951

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved