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 A167300 #13 Oct 19 2023 02:16:06 %S A167300 1,0,8,0,24,0,40,0,64,0,72,0,88,0,192,0,120,0,136,0,320,0,168,0,576,0, %T A167300 512,0,216,0,232,0,576,0,960,0,280,0,704,0,312,0,328,0,1536,0,360,0, %U A167300 1600,0,960,0,408,0,1728,0,1088,0,456,0,472,0,2560,0,2112,0 %N A167300 Totally multiplicative sequence with a(p) = 8*(p-2) for prime p. %H A167300 G. C. Greubel, <a href="/A167300/b167300.txt">Table of n, a(n) for n = 1..1000</a> %F A167300 Multiplicative with a(p^e) = (8*(p-2))^e. If n = Product p(k)^e(k) then a(n) = Product (8*(p(k)-2))^e(k). %F A167300 a(2k) = 0 for k >= 1. %F A167300 a(n) = A165829(n) * A166586(n) = 8^bigomega(n) * A166586(n) = 8^A001222(n) * A166586(n). %t A167300 a[1] = 1; a[n_] := (fi = FactorInteger[n]; Times @@ ((fi[[All, 1]] - 2)^fi[[All, 2]])); Table[a[n]*8^PrimeOmega[n], {n, 1, 100}] (* _G. C. Greubel_, Jun 07 2016 *) %t A167300 f[p_, e_] := (8*(p-2))^e; a[1] = 1; a[n_] := Times @@ f @@@ FactorInteger[n]; Array[a, 100] (* _Amiram Eldar_, Oct 19 2023 *) %Y A167300 Cf. A001222, A165829, A166586. %K A167300 nonn,easy,mult %O A167300 1,3 %A A167300 _Jaroslav Krizek_, Nov 01 2009