A252547 Number of (3+2)X(n+2) 0..3 arrays with every 3X3 subblock row and diagonal sum equal to 1 3 4 6 or 7 and every 3X3 column and antidiagonal sum not equal to 1 3 4 6 or 7

2142, 15480, 88146, 331884, 2576592, 15204660, 65274264, 519308064, 3103786152, 14646511152, 117255965760, 703300899408, 3514356996192, 28154584379520, 168981193312416, 871431684513984, 6978394143113472, 41882596925317440

Offset

1,1

Comments

Row 3 of A252544

Links

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

Formula

Empirical: a(n) = 454*a(n-3) -60040*a(n-6) +2444800*a(n-9) -13041664*a(n-12) +16777216*a(n-15)

Example

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

Crossrefs

Sequence in context: A115435 A116095 A347040 * A211601 A379780 A199745

Adjacent sequences: A252544 A252545 A252546 * A252548 A252549 A252550

Keyword

nonn

Author

R. H. Hardin, Dec 18 2014

Status

approved