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A010813
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25th powers: a(n) = n^25.
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7
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0, 1, 33554432, 847288609443, 1125899906842624, 298023223876953125, 28430288029929701376, 1341068619663964900807, 37778931862957161709568, 717897987691852588770249, 10000000000000000000000000
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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 (26, -325, 2600, -14950, 65780, -230230, 657800, -1562275, 3124550, -5311735, 7726160, -9657700, 10400600, -9657700, 7726160, -5311735, 3124550, -1562275, 657800, -230230, 65780, -14950, 2600, -325, 26, -1).
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FORMULA
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Completely multiplicative sequence with a(p) = p^25 for prime p. Multiplicative sequence with a(p^e) = p^(25e). - Jaroslav Krizek, Nov 01 2009
Dirichlet g.f.: zeta(s-25).
Sum_{n>=1} 1/a(n) = zeta(25).
Sum_{n>=1} (-1)^(n+1)/a(n) = 16777215*zeta(25)/16777216. (End)
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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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