login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064331 Generalized Catalan numbers C(-9; n). 3
1, 1, -8, 145, -3266, 82342, -2223818, 62912809, -1840413050, 55217088622, -1689752866904, 52538652432586, -1655036407913948, 52708355827445800, -1694246075896308110, 54894923324331676345, -1790984858946499478330 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

COMMENTS

See triangle A064334 with columns m built from C(-m; n), m >= 0, also for Derrida et al. references.

LINKS

Table of n, a(n) for n=0..16.

FORMULA

a(n)= sum((n-m)*binomial(n-1+m, m)*((-9)^m)/n, m=0..n-1) = ((1/10)^n)*(1+9*sum(C(k)*(-9*10)^k, k=0..n-1)), n >= 1, a(0) := 1; with C(n)=A000108(n) (Catalan).

G.f.: (1+9*x*c(-9*x)/10)/(1-x/10) = 1/(1-x*c(-9*x)) with c(x) g.f. of Catalan numbers A000108.

CROSSREFS

Sequence in context: A172150 A105046 A123812 * A230938 A239758 A239759

Adjacent sequences:  A064328 A064329 A064330 * A064332 A064333 A064334

KEYWORD

sign,easy

AUTHOR

Wolfdieter Lang, Sep 21 2001

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent | More pages
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy .

Last modified February 24 05:36 EST 2018. Contains 299596 sequences. (Running on oeis4.)