A251947 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum prime and every diagonal and antidiagonal sum nonprime

4346, 3609, 8756, 25231, 87011, 285399, 875435, 3103838, 10096792, 31749014, 113723049, 368726042, 1185416828, 4275496283, 13829769780, 45301551569, 164329016957, 530458381091, 1763892629076, 6427277914092, 20713967166825

Offset

1,1

Comments

Column 5 of A251950

Links

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

Formula

Empirical: a(n) = 69*a(n-3) -1170*a(n-6) +2238*a(n-9) -57909*a(n-12) +222992*a(n-15) -1407264*a(n-18) +4017948*a(n-21) -19586465*a(n-24) +37664446*a(n-27) -93459214*a(n-30) +89190666*a(n-33) -1008083*a(n-36) -13979004*a(n-39) -3987484*a(n-42) +2116364*a(n-45) +401146*a(n-48) -128423*a(n-51) -852*a(n-54) for n>57

Example

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

Crossrefs

Sequence in context: A317046 A259961 A252431 * A145916 A048900 A294985

Adjacent sequences: A251944 A251945 A251946 * A251948 A251949 A251950

Keyword

nonn

Author

R. H. Hardin, Dec 11 2014

Status

approved