A188990 Number of nX7 binary arrays without the pattern 0 0 1 antidiagonally or horizontally

54, 2916, 89744, 2613530, 72609144, 2002277608, 55080396536, 1515192856324, 41677443278252, 1146393385863412, 31532963467317340, 867353027986156300, 23857611484854924172, 656232939488766364764, 18050493852378599289948

Offset

1,1

Comments

Column 7 of A188992

Links

R. H. Hardin, Table of n, a(n) for n = 1..200

Formula

Empirical: a(n) = 35*a(n-1) -175*a(n-2) -1169*a(n-3) +8904*a(n-4) -5838*a(n-5) -78636*a(n-6) +390264*a(n-7) -535812*a(n-8) -1472012*a(n-9) +4073408*a(n-10) -2206456*a(n-11) +439232*a(n-12) -2614848*a(n-13) +1784672*a(n-14) +415680*a(n-15) +176768*a(n-16) -281856*a(n-17) -92160*a(n-18) for n>22

Example

Some solutions for 3X7
..1..1..1..1..0..1..1....0..1..0..1..0..1..0....1..1..0..1..1..1..1
..0..1..1..1..1..1..1....0..1..1..1..0..1..1....0..1..1..1..0..1..0
..1..0..1..0..1..0..0....1..1..0..0..0..0..0....0..1..0..0..0..0..0

Crossrefs

Sequence in context: A206893 A188761 A207093 * A189200 A042405 A187304

Adjacent sequences: A188987 A188988 A188989 * A188991 A188992 A188993

Keyword

nonn

Author

R. H. Hardin Apr 15 2011

Status

approved