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.
%I A166627 #14 Oct 30 2019 19:40:51 %S A166627 1,12,18,144,30,216,42,1728,324,360,66,2592,78,504,540,20736,102,3888, %T A166627 114,4320,756,792,138,31104,900,936,5832,6048,174,6480,186,248832, %U A166627 1188,1224,1260,46656,222,1368,1404,51840,246,9072,258,9504,9720,1656,282 %N A166627 Totally multiplicative sequence with a(p) = 6p for prime p. %H A166627 G. C. Greubel, <a href="/A166627/b166627.txt">Table of n, a(n) for n = 1..10000</a> %F A166627 Multiplicative with a(p^e) = (6p)^e. %F A166627 If n = Product p(k)^e(k) then a(n) = Product (6*p(k))^e(k). %F A166627 a(n) = n * A165827(n) = n * 6^bigomega(n) = n * 6^A001222(n). %F A166627 Dirichlet g.f.: Product_{p prime} 1 / (1 - 6 * p^(1 - s)). - _Ilya Gutkovskiy_, Oct 30 2019 %t A166627 Table[n*6^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, May 19 2016 *) %o A166627 (PARI) a(n) = n*6^bigomega(n); \\ _Michel Marcus_, May 19 2016 %Y A166627 Cf. A001222, A165827. %K A166627 nonn,mult %O A166627 1,2 %A A166627 _Jaroslav Krizek_, Oct 18 2009