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A059278 G.f. is G(x*(1-x)/(1-2*x)) where G(x) is g.f. for Catalan numbers A000108. +0
2
1, 1, 3, 11, 43, 175, 735, 3167, 13935, 62383, 283311, 1302271, 6047679, 28332991, 133752191, 635618431, 3038326911, 14599154431, 70474889471, 341624867071, 1662254107391, 8115717976831, 39747223425791, 195219110182911, 961330824858623 (list; graph; listen)
OFFSET

0,3

FORMULA

G.f.: (2x-1+sqrt((1-2x)*(1-6x+4x^2)))/(2x(x-1)).

PROGRAM

(PARI) a(n)=polcoeff((2*x-1 +sqrt((1-2*x)*(1-6*x+4*x^2)+x^2*O(x^n)))/(2*x^2-2*x), n)

CROSSREFS

Sequence in context: A026671 A026876 A151090 this_sequence A151091 A151092 A151093

Adjacent sequences: A059275 A059276 A059277 this_sequence A059279 A059280 A059281

KEYWORD

nonn

AUTHOR

N. J. A. Sloane (njas(AT)research.att.com), Jan 24 2001

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Last modified December 10 00:48 EST 2009. Contains 170565 sequences.


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