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A076875 Meandric numbers for a curve crossing two perpendicular lines at n points. 6
1, 2, 4, 10, 22, 62, 176, 478 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

COMMENTS

a(n) = number of ways that a curve can start in the (-,-) quadrant, cross the x and y axes at exactly n points and end in any quadrant. Line is undirected.

LINKS

Jon Wild, Illustration of a(4) = 22 (ignore the arrowheads)

FORMULA

For n odd a(n) = 2*A076906(n).

EXAMPLE

See illustration for a(4)=22: each of the 12 solutions shown crosses the x-axis first and ten of them are related by mirror symmetry to a corresponding curve that crosses the y-axis first, making the total a(4)=22.

CROSSREFS

Cf. A005316, A076876, A076906, A076907 (directed case).

Sequence in context: A148086 A179468 A203254 * A179490 A173185 A189890

Adjacent sequences:  A076872 A076873 A076874 * A076876 A076877 A076878

KEYWORD

nonn,nice

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com) and Jon Wild (wild(AT)music.mcgill.ca), Nov 24 2002

EXTENSIONS

a(6) and a(7) corrected Aug 23 2003

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Last modified February 15 05:45 EST 2012. Contains 205694 sequences.