The On-Line Encyclopedia of Integer Sequences (OEIS)

Revision History for A327730

(Bold, blue-underlined text is an addition; faded, red-underlined text is a ~~deletion~~.)
Showing entries 1-10 | older changes

A327730

a(n) = A060594(2n).
(history; published version)

#20 by Vaclav Kotesovec at Sat Dec 31 03:39:49 EST 2022

STATUS

reviewed

approved

#19 by Joerg Arndt at Sat Dec 31 03:29:06 EST 2022

STATUS

proposed

reviewed

#18 by Amiram Eldar at Sat Dec 31 03:14:03 EST 2022

STATUS

editing

proposed

#17 by Amiram Eldar at Sat Dec 31 02:42:57 EST 2022

MATHEMATICA

f[p_, e_] := 2; f[2, e_] := If[e == 1, 2, 4]; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* Amiram Eldar, Dec 31 2022 *)

#16 by Amiram Eldar at Sat Dec 31 02:40:59 EST 2022

FORMULA

From Amiram Eldar, Dec 31 2022: (Start)

Dirichlet g.f.: (zeta(s)^2/zeta(2*s))*((2+2^s+4^s)/(2^s+4^s)).

Sum_{k=1..n} a(k) ~ (n*log(n) + (2*gamma - 5*log(2)/12 - 2*zeta'(2)/zeta(2) - 1)*n)*8/Pi^2, where gamma is Euler's constant (A001620). (End)

CROSSREFS

Cf. A060594, A001221, A001620.

STATUS

approved

editing

#15 by Amiram Eldar at Wed Jun 22 15:27:55 EDT 2022

STATUS

reviewed

approved

#14 by Michel Marcus at Wed Jun 22 13:16:58 EDT 2022

STATUS

proposed

reviewed

#13 by Sébastien Palcoux at Wed Jun 22 11:44:02 EDT 2022

STATUS

editing

proposed

#12 by Sébastien Palcoux at Wed Jun 22 11:43:42 EDT 2022

EXTENSIONS

Offset 1 from Sébastien Palcoux, Jun 22 2022

STATUS

proposed

editing

Discussion

Wed Jun 22

11:43

Sébastien Palcoux: done!

#11 by Sébastien Palcoux at Wed Jun 22 00:51:40 EDT 2022

STATUS

editing

proposed

Discussion

Wed Jun 22