cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A166650 Totally multiplicative sequence with a(p) = 10*(p+1) for prime p.

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%I A166650 #15 Feb 06 2025 08:22:19
%S A166650 1,30,40,900,60,1200,80,27000,1600,1800,120,36000,140,2400,2400,
%T A166650 810000,180,48000,200,54000,3200,3600,240,1080000,3600,4200,64000,
%U A166650 72000,300,72000,320,24300000,4800,5400,4800,1440000,380,6000,5600,1620000,420
%N A166650 Totally multiplicative sequence with a(p) = 10*(p+1) for prime p.
%H A166650 G. C. Greubel, <a href="/A166650/b166650.txt">Table of n, a(n) for n = 1..10000</a>
%F A166650 Multiplicative with a(p^e) = (10*(p+1))^e. If n = Product p(k)^e(k) then a(n) = Product (10*(p(k)+1))^e(k).
%F A166650 a(n) = A165831(n) * A003959(n) = 10^bigomega(n) * A003959(n) = 10^A001222(n) * A003959(n).
%t A166650 a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] + 1)^fi[[All, 2]])); Table[a[n]*10^(PrimeOmega[n]), {n, 1, 100}](* _G. C. Greubel_, May 21 2016 *)
%t A166650 f[p_, e_] := (10*(p+1))^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* _Amiram Eldar_, Oct 17 2023 *)
%Y A166650 Cf. A001222, A003959, A165831.
%K A166650 nonn,easy,mult
%O A166650 1,2
%A A166650 _Jaroslav Krizek_, Oct 18 2009