A252238 Number of (n+2)X(3+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 1 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 1 3 4 6 or 7

2174, 16056, 108882, 331884, 2908368, 22430004, 65274264, 634913568, 5227152552, 14646511152, 151229828160, 1283725464144, 3514356996192, 37441377415296, 322401720092832, 871431684513984, 9433122571600128, 81784148775215424

Offset

1,1

Comments

Column 3 of A252243

Links

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

Formula

Empirical: a(n) = 454*a(n-3) -60040*a(n-6) +2444800*a(n-9) -13041664*a(n-12) +16777216*a(n-15) for n>16

Example

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

Crossrefs

Sequence in context: A126844 A235861 A184380 * A237303 A283346 A252348

Adjacent sequences: A252235 A252236 A252237 * A252239 A252240 A252241

Keyword

nonn

Author

R. H. Hardin, Dec 15 2014

Status

approved