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

Author

Stanislav Sykora, Jun 06 2012

Keywords

• sign

Comments

See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=2,q=5.

Examples

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

Links

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

Crossrefs

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

Cf. A213135 to A213157.

Programs

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 *)

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

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