A202585 Number of (n+2)X4 binary arrays avoiding patterns 001 and 100 in rows, columns and nw-to-se diagonals.

260, 943, 3906, 16595, 72124, 315526, 1386452, 6101978, 26880779, 118462616, 522168918, 2301871117, 10147794186, 44737519502, 197231808618, 869529453650, 3833476152984, 16900586528613, 74509397913883, 328488719268563

Offset

1,1

Comments

Column 2 of A202591

Links

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

Formula

Empirical: a(n) = 3*a(n-1) +12*a(n-2) -13*a(n-3) -58*a(n-4) -15*a(n-5) +99*a(n-6) +100*a(n-7) -11*a(n-8) -61*a(n-9) -54*a(n-10) -16*a(n-11) +10*a(n-12) +6*a(n-13) -2*a(n-14) +a(n-16) for n>17

Example

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

Crossrefs

Sequence in context: A154379 A185793 A237631 * A037219 A290040 A061224

Adjacent sequences: A202582 A202583 A202584 * A202586 A202587 A202588

Keyword

nonn

Author

R. H. Hardin, Dec 21 2011

Status

approved