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A213142
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Polylogarithm li(-n,-4/5) multiplied by (9^(n+1))/5.
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3
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1, -4, -4, 156, 636, -23844, -213444, 7561116, 122079996, -3999858084, -105913993284, 3121006139676, 129328349560956, -3294956189426724, -210883838041123524, 4369388083699591836, 441597580986548139516
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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=4,q=5.
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LINKS
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FORMULA
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See formula in A212846, setting p=4,q=5.
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EXAMPLE
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polylog(-5,-4/5)*9^6/5 = -23844.
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MATHEMATICA
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f[n_] := PolyLog[-n, -4/5] 9^(n + 1)/5; 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, 4, 5)
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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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