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.

A166630 Totally multiplicative sequence with a(p) = 9p for prime p.

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%I A166630 #11 Oct 30 2019 12:06:12
%S A166630 1,18,27,324,45,486,63,5832,729,810,99,8748,117,1134,1215,104976,153,
%T A166630 13122,171,14580,1701,1782,207,157464,2025,2106,19683,20412,261,21870,
%U A166630 279,1889568,2673,2754,2835,236196,333,3078,3159,262440,369,30618,387
%N A166630 Totally multiplicative sequence with a(p) = 9p for prime p.
%H A166630 G. C. Greubel, <a href="/A166630/b166630.txt">Table of n, a(n) for n = 1..10000</a>
%F A166630 Multiplicative with a(p^e) = (9p)^e.
%F A166630 If n = Product p(k)^e(k) then a(n) = Product (9*p(k))^e(k).
%F A166630 a(n) = n * A165830(n) = n * 9^bigomega(n) = n * 9^A001222(n).
%F A166630 Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(1 - s)). - _Ilya Gutkovskiy_, Oct 30 2019
%t A166630 Table[n*9^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, May 19 2016 *)
%Y A166630 Cf. A001222, A165830.
%K A166630 nonn,mult
%O A166630 1,2
%A A166630 _Jaroslav Krizek_, Oct 18 2009