A213134 Polylogarithm li(-n,-2/5) multiplied by (7^(n+1))/5.

1, -2, -6, 22, 426, 598, -54006, -568778, 8381226, 277762198, -123822006, -141432141578, -1958226061974, 70457642899798, 2812274227385994, -17169209695778378, -3417280244608089174, -48220222006064346602

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=5.

Links

Seiichi Manyama, Table of n, a(n) for n = 0..399 (terms 0..100 from Stanislav Sykora)

Formula

See formula in A212846, setting p=2,q=5.

a(n) = Sum_{k=0..n} k! * (-2)^k * 7^(n-k) * Stirling2(n,k). - Seiichi Manyama, Mar 13 2022

Example

polylog(-5,-2/5)*7^6/5 = 598.

Mathematica

f[n_] := PolyLog[-n, -2/5] 7^(n + 1)/5; f[0] = 1; Array[f, 20, 0] (* Robert G. Wilson v, Dec 25 2015 *)

Prog

(PARI) in A212846; run limnpq(nmax, 2, 5)
(PARI) a(n) = sum(k=0, n, k!*(-2)^k*7^(n-k)*stirling(n, k, 2)); \\ Seiichi Manyama, Mar 13 2022

Crossrefs

Cf. A212846, A210246, A212847, A213127 to A213133.

Cf. A213135 to A213157.

Sequence in context: A111061 A060803 A341884 * A140837 A342860 A342840

Adjacent sequences: A213131 A213132 A213133 * A213135 A213136 A213137

Keyword

sign

Author

Stanislav Sykora, Jun 06 2012

Status

approved