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A213135
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Polylogarithm li(-n,-2/7) multiplied by (9^(n+1))/7.
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3
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1, -2, -10, 6, 870, 7878, -90810, -3599514, -20802330, 1466193798, 42164160390, -227736774234, -44798359213530, -896477167975482, 32992662466363590, 2308652347666959846, 16747450938362727270, -3885313022633595475962
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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=2,q=7.
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LINKS
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FORMULA
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See formula in A212846, setting p=2,q=7.
a(n) = Sum_{k=0..n} k! * (-2)^k * 9^(n-k) * Stirling2(n,k). - Seiichi Manyama, Mar 13 2022
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EXAMPLE
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polylog(-5,-2/7)*9^6/7 = 7878.
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MATHEMATICA
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f[n_] := PolyLog[-n, -2/7] 9^(n + 1)/7; 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, 2, 7)
(PARI) a(n) = sum(k=0, n, k!*(-2)^k*9^(n-k)*stirling(n, k, 2)); \\ Seiichi Manyama, Mar 13 2022
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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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