A202891 Number of (n+2)X3 binary arrays avoiding patterns 001 and 010 in rows, columns and nw-to-se diagonals.

96, 258, 776, 2201, 6037, 16722, 46270, 127161, 349088, 958698, 2630889, 7215860, 19790631, 54276884, 148842778, 408154085, 1119230330, 3069096344, 8415836728, 23077199603, 63280320762, 173521625446, 475815066492, 1304736247929

Offset

1,1

Links

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

Formula

Empirical: a(n) = 3*a(n-1) -3*a(n-2) +14*a(n-3) -20*a(n-4) +9*a(n-5) -47*a(n-6) +24*a(n-7) +14*a(n-8) +62*a(n-9) +24*a(n-10) -33*a(n-11) -52*a(n-12) -43*a(n-13) +4*a(n-14) +25*a(n-15) +20*a(n-16) +5*a(n-17) -2*a(n-18) -3*a(n-19).

Example

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

Crossrefs

Column 1 of A202898.

Sequence in context: A304510 A268771 A202898 * A232939 A202591 A202584

Adjacent sequences: A202888 A202889 A202890 * A202892 A202893 A202894

Keyword

nonn

Author

R. H. Hardin, Dec 25 2011

Status

approved