A202598 Number of (n+2)X7 binary arrays avoiding patterns 001 and 000 in rows and columns

30114, 629790, 12360432, 248094210, 4938195402, 98603761284, 1966507686990, 39237140832414, 782749612707552, 15616275975432006, 311545131862447938, 6215394686176192020, 123998043156428751030, 2473782831623775889266

Offset

1,1

Comments

Column 5 of A202601

Links

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

Formula

Empirical: a(n) = 8*a(n-1) +250*a(n-2) +184*a(n-3) -8341*a(n-4) -3864*a(n-5) +101382*a(n-6) -13547*a(n-7) -478599*a(n-8) +220430*a(n-9) +899746*a(n-10) -500871*a(n-11) -729610*a(n-12) +374846*a(n-13) +291331*a(n-14) -107013*a(n-15) -59556*a(n-16) +9986*a(n-17) +5219*a(n-18) -224*a(n-19) -160*a(n-20) -2*a(n-21) +a(n-22)

Example

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

Crossrefs

Sequence in context: A237031 A027665 A260459 * A298429 A255759 A255752

Adjacent sequences: A202595 A202596 A202597 * A202599 A202600 A202601

Keyword

nonn

Author

R. H. Hardin Dec 21 2011

Status

approved