A251873 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7

11008, 36852, 18464, 31520, 107040, 151704, 267872, 924272, 1402224, 2561696, 8530512, 14524200, 26353888, 85112336, 160905480, 290357600, 904363728, 1882285416, 3363389920, 10173378704, 22821398088, 40487475296, 119653971792

Offset

1,1

Comments

Column 5 of A251876

Links

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

Formula

Empirical: a(n) = 21*a(n-3) -88*a(n-6) -336*a(n-9) +1664*a(n-12) for n>21

Example

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

Crossrefs

Sequence in context: A034712 A178586 A045152 * A267038 A267293 A300557

Adjacent sequences: A251870 A251871 A251872 * A251874 A251875 A251876

Keyword

nonn

Author

R. H. Hardin, Dec 10 2014

Status

approved