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.

A165830 Totally multiplicative sequence with a(p) = 9.

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%I A165830 #13 Oct 30 2019 09:22:01
%S A165830 1,9,9,81,9,81,9,729,81,81,9,729,9,81,81,6561,9,729,9,729,81,81,9,
%T A165830 6561,81,81,729,729,9,729,9,59049,81,81,81,6561,9,81,81,6561,9,729,9,
%U A165830 729,729,81,9,59049,81,729
%N A165830 Totally multiplicative sequence with a(p) = 9.
%H A165830 G. C. Greubel, <a href="/A165830/b165830.txt">Table of n, a(n) for n = 1..10000</a>
%F A165830 a(n) = A001019(A001222(n)) = 9^bigomega(n) = 9^A001222(n).
%F A165830 Dirichlet g.f.: Product_{p prime} 1 / (1 - 9 * p^(-s)). - _Ilya Gutkovskiy_, Oct 30 2019
%t A165830 9^PrimeOmega[Range[100]] (* _G. C. Greubel_, Apr 09 2016 *)
%o A165830 (PARI) a(n) = 9^bigomega(n); \\ _Altug Alkan_, Apr 09 2016
%Y A165830 Cf. A001019, A001222.
%K A165830 nonn,mult
%O A165830 1,2
%A A165830 _Jaroslav Krizek_, Sep 28 2009