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A115140
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O.g.f. inverse of Catalan A000108 o.g.f.
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10
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1, -1, -1, -2, -5, -14, -42, -132, -429, -1430, -4862, -16796, -58786, -208012, -742900, -2674440, -9694845, -35357670, -129644790, -477638700, -1767263190, -6564120420, -24466267020, -91482563640, -343059613650, -1289904147324, -4861946401452, -18367353072152
(list;
graph;
refs;
listen;
history;
text;
internal format)
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OFFSET
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0,4
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LINKS
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Table of n, a(n) for n=0..27.
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FORMULA
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See A034807 and A115149 for comments.
For convolutions of this sequence see A115141-A115149.
O.g.f. 1/c(x) = 1-x*c(x) with the o.g.f. c(x):=(1-sqrt(1-4*x))/(2*x) of A000108 (Catalan numbers).
a(0)=1, a(n)=-C(n-1), n>=1, with C(n):=A000108(n) (Catalan).
G.f.: (1 + sqrt(1-4*x))/2=U(0) where U(k)=1 - x/U(k+1) ; (continued fraction, 1-step). - Sergei N. Gladkovskii, Oct 29 2012
G.f.: 1/G(0) where G(k) = 1 - x/(x - 1/G(k+1) ); (recursively defined continued fraction). - Sergei N. Gladkovskii, Dec 12 2012
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CROSSREFS
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Sequence in context: A033191 A211216 * A120588 A168491 A000108 A057413
Adjacent sequences: A115137 A115138 A115139 * A115141 A115142 A115143
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KEYWORD
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sign,easy
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AUTHOR
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Wolfdieter Lang, Jan 13 2006
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STATUS
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approved
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