A252273 Number of (n+2)X(3+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

232, 588, 1407, 2513, 7803, 20430, 37160, 121782, 326774, 596036, 2008782, 5462339, 9969419, 34147305, 93561856, 170807342, 590374668, 1624383132, 2965903730, 10301913228, 28409142949, 51875117033, 180660686571, 498797977816

Offset

1,1

Comments

Column 3 of A252278

Links

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

Formula

Empirical: a(n) = 32*a(n-3) -310*a(n-6) +1093*a(n-9) -1724*a(n-12) +1309*a(n-15) -476*a(n-18) +82*a(n-21) -5*a(n-24) for n>27

Example

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

Crossrefs

Sequence in context: A179246 A064715 A245006 * A153466 A200870 A357573

Adjacent sequences: A252270 A252271 A252272 * A252274 A252275 A252276

Keyword

nonn

Author

R. H. Hardin, Dec 16 2014

Status

approved