A252302 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 0 1 3 6 or 7 and every 3X3 column and antidiagonal sum not equal to 0 1 3 6 or 7

4349, 3171, 3902, 5230, 9368, 14515, 20910, 42082, 66739, 98782, 217314, 348739, 531390, 1284226, 2070979, 3235390, 8478402, 13717315, 21847614, 60676930, 98374723, 158681662, 456864834, 741606979, 1205129790, 3540805186, 5751409219

Offset

1,1

Comments

Column 5 of A252305

Links

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

Formula

Empirical: a(n) = 15*a(n-3) -70*a(n-6) +120*a(n-9) -64*a(n-12) for n>21

Example

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

Crossrefs

Sequence in context: A145916 A048900 A294985 * A235066 A170786 A223378

Adjacent sequences: A252299 A252300 A252301 * A252303 A252304 A252305

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved