A202429 Number of (n+2)X4 binary arrays avoiding patterns 000 and 001 in rows, columns and nw-to-se diagonals

390, 2100, 10080, 50310, 247800, 1226040, 6056600, 29936040, 147935520, 731109730, 3613107680, 17855974900, 88243889790, 436100216050, 2155200833200, 10650972655340, 52636955728500, 260131094865980, 1285564199904440

Offset

1,1

Comments

Column 2 of A202435

Links

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

Formula

Empirical: a(n) = a(n-1) +16*a(n-2) +21*a(n-3) -13*a(n-4) -31*a(n-5) +9*a(n-6) +20*a(n-7) -12*a(n-8) +a(n-10)

Example

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

Crossrefs

Sequence in context: A325993 A108573 A206653 * A236612 A332419 A207575

Adjacent sequences: A202426 A202427 A202428 * A202430 A202431 A202432

Keyword

nonn

Author

R. H. Hardin Dec 19 2011

Status

approved