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 A167316 #13 Oct 22 2023 00:50:49 %S A167316 1,-6,0,36,12,0,24,-216,0,-72,48,0,60,-144,0,1296,84,0,96,432,0,-288, %T A167316 120,0,144,-360,0,864,156,0,168,-7776,0,-504,288,0,204,-576,0,-2592, %U A167316 228,0,240,1728,0,-720,264,0,576,-864,0,2160,300,0,576,-5184,0,-936,336 %N A167316 Totally multiplicative sequence with a(p) = 6*(p-3) for prime p. %H A167316 G. C. Greubel, <a href="/A167316/b167316.txt">Table of n, a(n) for n = 1..1000</a> %F A167316 Multiplicative with a(p^e) = (6*(p-3))^e. If n = Product p(k)^e(k) then a(n) = Product (6*(p(k)-3))^e(k). %F A167316 a(3k) = 0 for k >= 1. %F A167316 a(n) = A165827(n) * A166589(n) = 6^bigomega(n) * A166589(n) = 6^A001222(n) * A166589(n). %t A167316 a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] - 3)^fi[[All, 2]])); Table[a[n]*6^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, Jun 09 2016 *) %t A167316 f[p_, e_] := (6*(p-3))^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* _Amiram Eldar_, Oct 22 2023 *) %Y A167316 Cf. A001222, A165827, A166589. %K A167316 sign,easy,mult %O A167316 1,2 %A A167316 _Jaroslav Krizek_, Nov 01 2009