A252382 Number of (n+2) X (6+2) 0..3 arrays with every 3 X 3 subblock row and diagonal sum equal to 0 3 5 6 or 7 and every 3 X 3 column and antidiagonal sum not equal to 0 3 5 6 or 7.

4682, 1496, 1341, 1475, 1894, 2356, 2778, 3836, 5035, 6189, 8920, 12049, 15119, 22230, 30412, 38498, 57076, 78487, 99705, 148304, 204349, 259947, 387142, 533860, 679466, 1012428, 1396531, 1777781, 2649448, 3655033, 4653207, 6935222, 9567868

Offset

1,1

Links

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

Formula

Empirical: a(n) = 4*a(n-3) - 4*a(n-6) + a(n-9) for n>12.

Empirical g.f.: x*(4682 + 1496*x + 1341*x^2 - 17253*x^3 - 4090*x^4 - 3008*x^5 + 15606*x^6 + 2244*x^7 + 975*x^8 - 3705*x^9 - 344*x^10 - 8*x^11) / ((1 - x)*(1 + x + x^2)*(1 - 3*x^3 + x^6)). - Colin Barker, Dec 03 2018

Example

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

Crossrefs

Column 6 of A252384.

Sequence in context: A230487 A230483 A022244 * A190131 A226801 A320620

Adjacent sequences: A252379 A252380 A252381 * A252383 A252384 A252385

Keyword

nonn

Author

R. H. Hardin, Dec 17 2014

Status

approved