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A213143 Polylogarithm li(-n,-4/7) multiplied by (11^(n+1))/7. 3
1, -4, -12, 188, 2580, -28324, -1123212, 4593788, 791677140, 4687508636, -789960600012, -16633684281412, 997739785828500, 46516458962719196, -1370408093916825612, -140930266128553137412 (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=4,q=7.

LINKS

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

FORMULA

See formula in A212846, setting p=4,q=7.

EXAMPLE

polylog(-5,-4/7)*11^6/7 = -28324.

MATHEMATICA

f[n_] := PolyLog[-n, -4/7] 11^(n + 1)/7; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PROG

(PARI) in A212846; run limnpq(nmax, 4, 7)

CROSSREFS

Cf. A212846, A210246, A212847, A213127 to A213142.

Cf. A213144 to A213157.

Sequence in context: A230691 A032071 A222393 * A173603 A175718 A076030

Adjacent sequences:  A213140 A213141 A213142 * A213144 A213145 A213146

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.