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 A331078 #12 Apr 19 2024 03:26:49 %S A331078 1,2,3,7,8,12,13,19,23,27,28,40,41,45,49,61,62,74,75,87,91,95,96,120, %T A331078 124,128,134,146,147,167,168,183,187,191,195,235,236,240,244,268,269, %U A331078 289,290,302,314,318,319,364,368,380,384,396,397,421,425,449,453,457,458,518,519,523,535,563,567,587,588,600,604,624 %N A331078 a(n) = Sum_{k = 1..n} [u_2(k)*u_3(k)], where u_2 = A038548, u_3 = A034836. %C A331078 For background references see A330570. %H A331078 Amiram Eldar, <a href="/A331078/b331078.txt">Table of n, a(n) for n = 1..10000</a> %t A331078 s[1] = 1; s[n_] := Module[{e = FactorInteger[n][[;; , 2]]}, Ceiling[(Times @@ (e + 1)) / 2]*(If[IntegerQ[Surd[n, 3]], 1/3, 0] + (Times @@ ((e + 1)*(e + 2)/2))/6 + (Times @@ (Floor[e/2] + 1))/2)]; Accumulate[Array[s, 100]] (* _Amiram Eldar_, Apr 19 2024 *) %Y A331078 Cf. A038548, A034836 %K A331078 nonn %O A331078 1,2 %A A331078 _N. J. A. Sloane_, Jan 10 2020