login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A025173 The Gegenbauer Polynomial of index n, order 1, evaluated at x=1/3 and multiplied by n*3^n/2. 1
0, 1, -5, -42, -22, 575, 1677, -3332, -27740, -23859, 259055, 832370, -981714, -10980437, -13342175, 85437240, 319499912, -192522535, -3642631389, -5753449394, 24313788850, 108290637399, -13811840779, -1096315586380, -2152355798868, 6240751807525 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,3

LINKS

Alois P. Heinz, Table of n, a(n) for n = 0..1000

Wikipedia, Gegenbauer Polynomials

Index entries for linear recurrences with constant coefficients, signature (4,-22,36,-81).

FORMULA

G.f.: ( x-9*x^2 ) / (1-2*x+9*x^2)^2 . - R. J. Mathar, Feb 05 2013

MAPLE

a:= n-> (<<0|1|0|0>, <0|0|1|0>, <0|0|0|1>, <-81|36|-22|4>>^n. <<0, 1, -5, -42>>)[1, 1]: seq(a(n), n=0..50); # Alois P. Heinz, Feb 05 2013

MATHEMATICA

Table[ n/2 3^n GegenbauerC[ n, 1, 1/3 ], {n, 24} ]

CROSSREFS

Sequence in context: A065035 A145008 A216610 * A222474 A327269 A266021

Adjacent sequences:  A025170 A025171 A025172 * A025174 A025175 A025176

KEYWORD

sign

AUTHOR

Wouter Meeussen

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
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 25 22:55 EDT 2020. Contains 337346 sequences. (Running on oeis4.)