A251648 Number of (n+2)X(4+2) 0..3 arrays with no row, column, diagonal or antidiagonal in any 3X3 subblock summing to 0 2 4 5 7 or 9

1248, 4008, 9918, 24706, 98306, 245842, 610082, 2470626, 6167962, 15277218, 62704418, 156357898, 386711138, 1602835938, 3993364042, 9866146146, 41180644322, 102536539882, 253140113186, 1061848619298, 2642785323274

Offset

1,1

Comments

Column 4 of A251652

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +23*a(n-3) -77*a(n-4) +78*a(n-6) -26*a(n-7) for n>11

Example

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

Crossrefs

Sequence in context: A195006 A114528 A069146 * A235021 A184500 A234212

Adjacent sequences: A251645 A251646 A251647 * A251649 A251650 A251651

Keyword

nonn

Author

R. H. Hardin, Dec 06 2014

Status

approved