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A258846
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The pi-based arithmetic derivative of n^n.
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2
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0, 0, 4, 54, 1024, 9375, 326592, 3294172, 201326592, 4649045868, 110000000000, 1426558353055, 178322008965120, 1817250639553518, 166680102383370240, 8319983917236328125, 590295810358705651712, 5790681833204357349239, 1298431466484785739988992
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OFFSET
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0,3
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LINKS
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FORMULA
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MAPLE
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with(numtheory):
a:= n-> n^(n+1)*add(i[2]*pi(i[1])/i[1], i=ifactors(n)[2]):
seq(a(n), n=0..20);
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MATHEMATICA
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a[n_] := n^(n+1)*Sum[i[[2]]*PrimePi[i[[1]]]/i[[1]], {i, FactorInteger[n]}];
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CROSSREFS
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KEYWORD
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nonn
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AUTHOR
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STATUS
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approved
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