A252275 Number of (n+2)X(5+2) 0..3 arrays with every 3X3 subblock row and column sum not equal to 2 3 4 6 or 7 and every 3X3 diagonal and antidiagonal sum equal to 2 3 4 6 or 7

535, 2154, 7803, 15739, 67509, 257064, 518498, 2242108, 8653976, 17431304, 75799154, 294537559, 592661533, 2585522047, 10081877314, 20274600220, 88602194170, 346116811314, 695822617360, 3043553240578, 11900452582543

Offset

1,1

Comments

Column 5 of A252278

Links

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

Formula

Empirical: a(n) = 64*a(n-3) -1282*a(n-6) +10153*a(n-9) -38844*a(n-12) +79176*a(n-15) -91088*a(n-18) +63696*a(n-21) -29380*a(n-24) +8949*a(n-27) -1580*a(n-30) +142*a(n-33) -5*a(n-36) for n>37

Example

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

Crossrefs

Sequence in context: A183598 A252536 A067723 * A059949 A256088 A250709

Adjacent sequences: A252272 A252273 A252274 * A252276 A252277 A252278

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved