A251875 Number of (n+2)X(7+2) 0..3 arrays with every 3X3 subblock row and column sum not 2 4 5 or 7 and every diagonal and antidiagonal sum 2 4 5 or 7

32372, 99808, 40816, 62720, 267872, 506656, 893120, 3499888, 8000000, 15317248, 56450688, 146923792, 294439232, 1049159568, 2916709968, 5965120064, 20941831888, 59901392016, 123522690880, 431054317328, 1247133093840

Offset

1,1

Comments

Column 7 of A251876

Links

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

Formula

Empirical: a(n) = 29*a(n-3) -168*a(n-6) for n>17

Example

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

Crossrefs

Sequence in context: A218574 A145871 A137283 * A156038 A156048 A234224

Adjacent sequences: A251872 A251873 A251874 * A251876 A251877 A251878

Keyword

nonn

Author

R. H. Hardin, Dec 10 2014

Status

approved