A252189 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum equal to 0 1 3 6 or 7 and every 3X3 diagonal and antidiagonal sum not equal to 0 1 3 6 or 7

5300, 6368, 8945, 14130, 24956, 37035, 57284, 99128, 151616, 245908, 420808, 657008, 1113688, 1927880, 3098960, 5528048, 9700168, 16202576, 30747088, 54771272, 95341136, 192162896, 346971208, 625763408, 1322237008, 2411214920

Offset

1,1

Comments

Column 5 of A252192

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>22

Example

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

Crossrefs

Sequence in context: A053397 A300365 A227486 * A204838 A212078 A176136

Adjacent sequences: A252186 A252187 A252188 * A252190 A252191 A252192

Keyword

nonn

Author

R. H. Hardin, Dec 15 2014

Status

approved