A252008 Number of (n+2)X(1+2) 0..3 arrays with every 3X3 subblock row and column sum 1 3 6 or 8 and every diagonal and antidiagonal sum not 1 3 6 or 8

756, 1168, 1110, 1618, 1970, 2458, 3246, 4410, 5802, 7874, 10910, 14594, 19726, 27894, 38154, 52258, 74678, 102670, 141578, 205578, 285918, 396882, 580242, 810258, 1131350, 1669190, 2342830, 3281074, 4860118, 6840566, 9612562, 14299410

Offset

1,1

Comments

Column 1 of A252015

Links

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

Formula

Empirical: a(n) = 2*a(n-1) -2*a(n-2) +5*a(n-3) -8*a(n-4) +9*a(n-5) -8*a(n-6) +6*a(n-7) -9*a(n-8) +6*a(n-9) +a(n-10) -a(n-11) -3*a(n-13) +3*a(n-14) for n>22

Example

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

Crossrefs

Sequence in context: A261583 A332879 A256089 * A252015 A108374 A252007

Adjacent sequences: A252005 A252006 A252007 * A252009 A252010 A252011

Keyword

nonn

Author

R. H. Hardin, Dec 12 2014

Status

approved