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A308054
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The number of coreful abundant numbers (A308053) below 10^n.
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0
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0, 1, 24, 259, 2614, 26222, 262220, 2622178, 26221610, 262215860, 2622158194
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OFFSET
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1,3
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LINKS
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FORMULA
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a(n) ~ c * 10^n, where c = 0.0262215... is the asymptotic density of the coreful abundant numbers (see A308053). [Updated by Amiram Eldar, Sep 02 2022]
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EXAMPLE
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Below 10^2 there is only one coreful abundant number, 72, hence a(2) = 1.
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MATHEMATICA
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f[p_, e_] := (p^(e+1)-1)/(p-1)-1; csigma[1]=1; csigma[n_] := Times @@ (f @@@ FactorInteger[n]); cpQ[n_] := csigma[n] > 2*n; s={0}; c=0; p=100; Do[If[k==p, AppendTo[s, c]; p*=10]; If[cpQ[k], c++], {k, 1, 1000001}]; s
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CROSSREFS
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KEYWORD
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nonn,more
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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