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A213149
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Polylogarithm li(-n,-6/7) multiplied by (13^(n+1))/7.
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3
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1, -6, -6, 498, 2010, -163806, -1426326, 113319858, 1731433530, -133040247486, -3200805321846, 235719742497618, 8363215587567450, -584103976037953566, -29313609779751086166, 1917198413998763777778
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OFFSET
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0,2
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COMMENTS
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See the sequence A212846 which describes the general case of li(-n,-p/q). This sequence is obtained for p=6,q=7.
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LINKS
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FORMULA
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See formula in A212846, setting p=6,q=7.
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EXAMPLE
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polylog(-5,-6/7)*13^6/7 = -163806.
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MATHEMATICA
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p = 6; q = 7; 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 *)
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PROG
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(PARI) in A212846; run limnpq(nmax, 6, 7)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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