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A101490 G.f. satisfies A(x) = x*(1+A^2)^2/(1-A+A^2). +0
3
0, 1, 1, 3, 8, 25, 80, 267, 911, 3170, 11192, 39993, 144320, 525124, 1924196, 7093603, 26288928, 97878831, 365918064, 1372982706, 5168555770, 19514482964, 73876936272, 280363191353, 1066357904128, 4064204607372 (list; graph; listen)
OFFSET

0,4

LINKS

M. Bousquet-Melou, Limit laws for embedded trees

P. Flajolet and R. Sedgewick, Analytic Combinatorics, 2009; see page 413

FORMULA

a(n+1)=Sum_{k, 0<=k<=[n/2]}A039599(n-k,k)*A000108(k). - Philippe DELEHAM (kolotoko(AT)wanadoo.fr), Apr 12 2007

G.f: x*c(x)*c(x^2*c(x)^2), c(x) the g.f. of A000108. [From Paul Barry (pbarry(AT)wit.ie), Jun 02 2009]

CROSSREFS

Sequence in context: A007563 A050383 A060404 this_sequence A148793 A161634 A148794

Adjacent sequences: A101487 A101488 A101489 this_sequence A101491 A101492 A101493

KEYWORD

nonn

AUTHOR

Ralf Stephan, Jan 21 2005

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Last modified November 25 20:09 EST 2009. Contains 167514 sequences.


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