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A202528 Number of (n+2) X 6 binary arrays avoiding patterns 000 and 101 in rows, columns and nw-to-se diagonals 1
890, 2232, 4669, 9746, 21297, 45899, 97936, 210562, 453068, 972285, 2087770, 4485977, 9635163, 20693096, 44448598, 95473096, 205062389, 440453226, 946055233, 2032027019, 4364582616, 9374693066, 20135896348, 43249855813 (list; graph; refs; listen; history; text; internal format)
OFFSET
1,1
COMMENTS
Column 4 of A202532.
LINKS
FORMULA
Empirical: a(n) = 2*a(n-1) +2*a(n-3) -2*a(n-4) -2*a(n-5) +a(n-7) for n>8.
Empirical g.f.: x*(890 + 452*x + 205*x^2 - 1372*x^3 - 879*x^4 + 211*x^5 + 448*x^6 + 36*x^7) / ((1 - x)*(1 + x^2 - x^3)*(1 - x - 2*x^2 - x^3)). - Colin Barker, Jun 01 2018
EXAMPLE
Some solutions for n=3:
..1..0..0..1..1..0....0..0..1..1..1..0....0..0..1..1..0..0....1..1..1..1..0..0
..1..1..1..1..1..0....0..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..0
..0..1..1..1..1..1....1..1..1..1..1..1....1..1..1..1..1..1....0..1..1..1..1..1
..0..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..0....0..0..1..1..1..0....0..0..1..1..1..1....1..0..0..1..0..0
CROSSREFS
Cf. A202532.
Sequence in context: A224338 A250513 A252577 * A006916 A128871 A110726
KEYWORD
nonn
AUTHOR
R. H. Hardin, Dec 20 2011
STATUS
approved

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Last modified July 13 23:31 EDT 2024. Contains 374290 sequences. (Running on oeis4.)