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A213147 Polylogarithm li(-n,-5/8) multiplied by (13^(n+1))/8. 3
1, -5, -15, 355, 4665, -88805, -2984415, 37043155, 3157381065, -10240455605, -4883191732815, -46188388946045, 10124441425941465, 280075126224969595, -26112838782751585215, -1459429976295088887245 (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=5,q=8.

LINKS

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

FORMULA

See formula in A212846, setting p=5,q=8.

EXAMPLE

polylog(-5,-5/8)*13^6/8 = -88805.

MATHEMATICA

p = 5; q = 8; f[n_] := PolyLog[-n, -p/q] (p + q)^(n + 1)/q; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

PROG

(PARI) in A212846; run limnpq(nmax, 5, 8)

CROSSREFS

Cf. A212846, A210246, A212847, A213127 to A213146.

Cf. A213148 to A213157.

Sequence in context: A053918 A053926 A216463 * A112273 A247882 A215901

Adjacent sequences:  A213144 A213145 A213146 * A213148 A213149 A213150

KEYWORD

sign

AUTHOR

Stanislav Sykora, Jun 06 2012

STATUS

approved

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Last modified August 22 01:16 EDT 2017. Contains 290942 sequences.