A202773 Number of (n+2)X6 binary arrays avoiding patterns 000 and 011 in rows, columns and nw-to-se diagonals

833, 2600, 6176, 13937, 29826, 60469, 119735, 230808, 435942, 813680, 1496692, 2731419, 4944907, 8896421, 15931145, 28413699, 50511743, 89578250, 158512560, 280048775, 494090369, 870801734, 1533389242, 2698285669, 4745468937

Offset

1,1

Comments

Column 4 of A202777

Links

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

Formula

Empirical: a(n) = 2*a(n-1) +5*a(n-2) -4*a(n-3) -24*a(n-4) -6*a(n-5) +60*a(n-6) +63*a(n-7) -69*a(n-8) -177*a(n-9) -17*a(n-10) +238*a(n-11) +206*a(n-12) -152*a(n-13) -314*a(n-14) -61*a(n-15) +248*a(n-16) +191*a(n-17) -70*a(n-18) -164*a(n-19) -53*a(n-20) +62*a(n-21) +59*a(n-22) +20*a(n-23) -21*a(n-24) -26*a(n-25) -17*a(n-26) +11*a(n-27) +14*a(n-28) +5*a(n-29) -6*a(n-30) -3*a(n-31) +a(n-33)

Example

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

Crossrefs

Sequence in context: A264064 A325064 A214481 * A095257 A236741 A113856

Adjacent sequences: A202770 A202771 A202772 * A202774 A202775 A202776

Keyword

nonn

Author

R. H. Hardin Dec 23 2011

Status

approved