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A213137 Polylogarithm li(-n,-3/4) multiplied by (7^(n+1))/4. 3
1, -3, -3, 69, 285, -6123, -56883, 1103109, 19251645, -320851083, -9828858963, 130009042149, 7019067151005, -62927791491243, -6646083378845043, 24719268064533189, 8013257547754474365, 22024516916447897397 (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=3,q=4.

LINKS

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

FORMULA

See formula in A212846, setting p=3,q=4.

EXAMPLE

polylog(-5,-3/4)*7^6/4 = -6123.

MATHEMATICA

f[n_] := PolyLog[-n, -3/4] 7^(n + 1)/4; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PROG

(PARI) in A212846; run limnpq(nmax, 3, 4)

CROSSREFS

Cf. A212846, A210246, A212847, A213127 to A213136.

Cf. A213138 to A213157.

Sequence in context: A102065 A102074 A126227 * A260076 A024189 A217542

Adjacent sequences:  A213134 A213135 A213136 * A213138 A213139 A213140

KEYWORD

sign

AUTHOR

Stanislav Sykora, Jun 06 2012

STATUS

approved

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Last modified May 26 03:22 EDT 2017. Contains 287073 sequences.