A251946 Number of (n+2)X(4+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

2735, 2053, 3572, 8937, 25231, 68456, 177132, 512051, 1394255, 3602453, 10493651, 28493630, 73547094, 215611381, 583411229, 1504465281, 4438290073, 11968260682, 30834025066, 91514007569, 245967352689, 633116564171, 1889972763635

Offset

1,1

Comments

Column 4 of A251950

Links

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

Formula

Empirical: a(n) = 42*a(n-3) -485*a(n-6) +1193*a(n-9) -6286*a(n-12) +16999*a(n-15) -43581*a(n-18) +70906*a(n-21) -74639*a(n-24) +37823*a(n-27) -54*a(n-30) -1971*a(n-33) +54*a(n-36) for n>39

Example

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

Crossrefs

Sequence in context: A015423 A260543 A145647 * A045155 A251989 A251985

Adjacent sequences: A251943 A251944 A251945 * A251947 A251948 A251949

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved