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A010808
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20th powers: a(n) = n^20.
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6
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0, 1, 1048576, 3486784401, 1099511627776, 95367431640625, 3656158440062976, 79792266297612001, 1152921504606846976, 12157665459056928801, 100000000000000000000, 672749994932560009201, 3833759992447475122176
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OFFSET
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0,3
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LINKS
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Index entries for linear recurrences with constant coefficients, signature (21, -210, 1330, -5985, 20349, -54264, 116280, -203490, 293930, -352716, 352716, -293930, 203490, -116280, 54264, -20349, 5985, -1330, 210, -21, 1).
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FORMULA
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Totally multiplicative sequence with a(p) = p^20 for prime p. Multiplicative sequence with a(p^e) = p^(20e). - Jaroslav Krizek, Nov 01 2009
Dirichlet g.f.: zeta(s-20).
Sum_{n>=1} 1/a(n) = 174611*Pi^20/1531329465290625 = A013678. (End)
Sum_{n>=1} (-1)^(n+1)/a(n) = 524287*zeta(20)/524288 = 91546277357*Pi^20/802857662698291200000. - Amiram Eldar, Oct 09 2020
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MATHEMATICA
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PROG
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CROSSREFS
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KEYWORD
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nonn,mult,easy
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AUTHOR
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STATUS
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approved
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