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A104268 2*4^(n-1) - (3n-1)/(2n+2)*C(2n,n). +0
1
1, 3, 12, 51, 218, 926, 3902, 16323, 67866, 280746, 1156576, 4748398, 19439332, 79391708, 323584322, 1316578403, 5348814842, 21702312818, 87955584152, 356114261498, 1440568977932, 5822909703908, 23520345224732 (list; graph; listen)
OFFSET

1,2

COMMENT

Cardinality of the set of nesting-similarity classes.

LINKS

M. Klazar, On identities concerning the numbers of crossings and nestings of two edges in matchings

FORMULA

G.f.: C+z^2(2zC'+C)^2C, with C(z) the g.f. of the Catalan numbers.

CROSSREFS

Equals A006419(n-1) + A000108(n).

Sequence in context: A135343 A083314 A155179 this_sequence A081704 A166482 A007854

Adjacent sequences: A104265 A104266 A104267 this_sequence A104269 A104270 A104271

KEYWORD

nonn,easy

AUTHOR

Ralf Stephan, Apr 17 2005

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Last modified November 27 22:38 EST 2009. Contains 167602 sequences.


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