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 A210245 Signs of the polylogarithm li(-n,-1/2). 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 (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: A242179 A319117 * A210247 A269529 A244513 A292117 Adjacent sequences:  A210242 A210243 A210244 * A210246 A210247 A210248 KEYWORD sign AUTHOR Stanislav Sykora, Mar 19 2012 STATUS approved

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Last modified November 12 13:36 EST 2018. Contains 317109 sequences. (Running on oeis4.)