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A213134
Polylogarithm li(-n,-2/5) multiplied by (7^(n+1))/5.
3
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
KEYWORD
sign
AUTHOR
Stanislav Sykora, Jun 06 2012
STATUS
approved