A213155 Polylogarithm li(-n,-1/100) multiplied by (101^(n+1))/100.

1, -1, -99, -9601, -891099, -74657401, -4598985699, 83304101999, 105616323905301, 26458809087970199, 4788219040686298701, 620396956870561833599, 15434896384804497301701, -25743663357271554846442201

Offset

0,3

Comments

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=1,q=100.

Links

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

Formula

See formula in A212846, setting p=1,q=100.

Example

polylog(-5,-1/100)*101^6/100 = -74657401.

Mathematica

f[n_] := PolyLog[-n, -1/100] (101^(n + 1))/100; f[0] = 1; Array[f, 14, 0] (* Robert G. Wilson v, Dec 25 2015 *)

Prog

(PARI) in A212846; run limnpq(nmax, 1, 100)

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213154.

Cf. A213156, A213157.

Sequence in context: A069363 A163051 A093233 * A046173 A278620 A171415

Adjacent sequences: A213152 A213153 A213154 * A213156 A213157 A213158

Keyword

sign

Author

Stanislav Sykora, Jun 06 2012

Status

approved