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 A162665 #12 Jan 02 2025 07:56:37 %S A162665 5,31,42,111,70,258,106,329,235,410,202,930,262,602,612,931,406,1373, %T A162665 490,1518,948,1106,682,2802,957,1418,1364,2274,1030,3540,1162,2715, %U A162665 1860,2162,1940,5097,1606,2594,2436,4882,1942,5316,2122,4290,3986,3578,2506 %N A162665 a(n) = sigma_2(n) + 3 sigma(n) tau(n) + tau(n)^3. %C A162665 Row 3 of A162663. %H A162665 Amiram Eldar, <a href="/A162665/b162665.txt">Table of n, a(n) for n = 1..10000</a> %t A162665 Table[DivisorSigma[2,n]+3DivisorSigma[1,n]DivisorSigma[0,n]+ DivisorSigma[ 0,n]^3,{n,50}] (* _Harvey P. Dale_, Jun 22 2013 *) %o A162665 (PARI) a(n) = my(f = factor(n), d = numdiv(f)); sigma(f, 2) + 3 * d * sigma(f) + d^3; \\ _Amiram Eldar_, Jan 02 2025 %Y A162665 Cf. A000005, A000203, A001157, A162663. %K A162665 nonn,easy %O A162665 1,1 %A A162665 _Franklin T. Adams-Watters_, Jul 09 2009