A252549 Number of (6+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7

33852, 881848, 15204660, 84935088, 2316305760, 38252054800, 267361717440, 7328287959424, 113662014539328, 959873651073792, 26099107508602368, 383791130745121024, 3685070395096108032, 99395569675974350848

Offset

1,1

Comments

Row 6 of A252544

Links

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

Formula

Empirical: a(n) = 7180*a(n-3) -14766112*a(n-6) +8766324736*a(n-9) -103548977152*a(n-12) +274877906944*a(n-15)

Example

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

Crossrefs

Sequence in context: A243467 A205166 A238514 * A231196 A212229 A204669

Adjacent sequences: A252546 A252547 A252548 * A252550 A252551 A252552

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved