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A212847 Polylogarithm li(-n,-2/3) multiplied by (5^(n+1))/3. 34
1, -2, -2, 22, 94, -890, -9170, 67030, 1495870, -6581210, -362016050, 194447350, 120002960350, 554823694150, -51277487618450, -601106981110250, 26775789844186750, 591304973974171750, -16113120605399179250 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=2,q=3.

LINKS

Stanislav Sykora, Table of n, a(n) for n = 0..100

FORMULA

See formula in A212846, setting p=2,q=3.

EXAMPLE

polylog(-5,-2/3)*5^6/3 = -890.

MATHEMATICA

f[n_] := PolyLog[-n, -2/3] 5^(n + 1)/3; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PROG

See (PARI) in A212846; run limnpq(nmax, 2, 3)

CROSSREFS

Cf. A212846 (li(-n,-1/2)), A210246 (li(-n,-1/3)).

Cf. A213127 through A213157.

Sequence in context: A143807 A118454 A118326 * A087405 A001012 A040082

Adjacent sequences:  A212844 A212845 A212846 * A212848 A212849 A212850

KEYWORD

sign

AUTHOR

Stanislav Sykora, May 28 2012

STATUS

approved

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Last modified June 28 16:56 EDT 2017. Contains 288839 sequences.