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

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A210245 Signs of the polylogarithm li(-n,-1/2). 1
1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1, -1, -1, 1, 1, 1, -1, -1, 1, 1, -1, -1, -1, 1, 1 (list; graph; refs; listen; history; text; internal format)
OFFSET

0

COMMENTS

Given an integer n, consider the infinite series s(n) = li(-n,-1/2)) = SUM((-1)^k)(k^n)/2^k) for k=0,1,2,... Then the value of a(n) is the sign of s(n).

Should s(n) be 0, the sign would be set to 0 as well.

However, it is not known whether this ever happens.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..199

S. Sykora, Finite and Infinite Sums of the Power Series (k^p)(x^k), Stan's Library Vol. I, April 2006, updated March 2012. See Eq.(29).

Eric W. Weisstein, MathWorld: Polylogarithm

FORMULA

a(n) = sign(A210244(n)) = sign(A212846(n)).

EXAMPLE

a(5) = sign(A212846(5)) = sign(-7) = -1

CROSSREFS

Cf. A212846

Sequence in context: A262725 A242179 * A210247 A269529 A244513 A246016

Adjacent sequences:  A210242 A210243 A210244 * A210246 A210247 A210248

KEYWORD

sign

AUTHOR

Stanislav Sykora, Mar 19 2012

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 June 28 16:43 EDT 2017. Contains 288839 sequences.