The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A061704 (Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
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A061704

Number of cubes dividing n.
(history; published version)

#39 by Vaclav Kotesovec at Tue Dec 01 03:28:15 EST 2020

STATUS

editing

approved

#38 by Vaclav Kotesovec at Tue Dec 01 03:28:05 EST 2020

LINKS

<a href="/index/Eu#epf">Index entries for sequences computed from exponents in factorization of n</a>

#37 by Vaclav Kotesovec at Tue Dec 01 03:27:45 EST 2020

LINKS

Vaclav Kotesovec, <a href="/A061704/a061704.jpg">Graph - the asymptotic ratio (100000 terms)</a>

STATUS

approved

editing

#36 by Vaclav Kotesovec at Tue Dec 01 03:01:00 EST 2020

STATUS

editing

approved

#35 by Vaclav Kotesovec at Tue Dec 01 03:00:54 EST 2020

FORMULA

Sum_{k=1..n} a(k) ~ zeta(3)*n + zeta(1/3)*n^(1/3). - Vaclav Kotesovec, Dec 01 2020

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approved

editing

#34 by Joerg Arndt at Tue Sep 15 06:36:16 EDT 2020

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reviewed

approved

#33 by Michel Marcus at Tue Sep 15 02:37:10 EDT 2020

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proposed

reviewed

#32 by Amiram Eldar at Tue Sep 15 02:30:04 EDT 2020

STATUS

editing

proposed

#31 by Amiram Eldar at Tue Sep 15 02:03:28 EDT 2020

COMMENTS

Multiplicative with a(p^e) = floor(e/3) + 1. - Mitch Harris, Apr 19 2005

FORMULA

Multiplicative with a(p^e) = floor(e/3) + 1. - Mitch Harris, Apr 19 2005

MATHEMATICA

f[p_, e_] := 1 + Floor[e/3]; a[1] = 1; a[n_] := Times @@ (f @@@ FactorInteger[n]); Array[a, 100] (* Amiram Eldar, Sep 15 2020 *)

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approved

editing

#30 by N. J. A. Sloane at Sat Jul 29 19:17:58 EDT 2017

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proposed

approved