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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A064328 Generalized Catalan numbers C(-6; n). 2
1, 1, -5, 61, -917, 15421, -277733, 5239117, -102188021, 2044131037, -41706059525, 864547613293, -18157111255829, 385517710342909, -8261602828082213, 178459989617336461, -3881680470161846837 (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)*((-6)^m)/n, m=0..n-1) = ((1/7)^n)*(1+6*sum(C(k)*(-6*7)^k, k=0..n-1)), n >= 1, a(0) := 1; with C(n)=A000108(n) (Catalan).

G.f.: (1+6*x*c(-6*x)/7)/(1-x/7) = 1/(1-x*c(-6*x)) with c(x) g.f. of Catalan numbers A000108.

CROSSREFS

Sequence in context: A217811 A217280 A236955 * A012060 A012167 A162167

Adjacent sequences:  A064325 A064326 A064327 * A064329 A064330 A064331

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 21 14:40 EST 2018. Contains 299414 sequences. (Running on oeis4.)