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 A347159 #5 Aug 20 2021 22:52:35 %S A347159 0,0,0,8,0,8,0,8,27,8,0,35,0,8,27,8,0,35,0,8,27,8,0,35,125,8,27,8,0, %T A347159 160,0,8,27,8,125,35,0,8,27,133,0,35,0,8,152,8,0,35,343,133,27,8,0,35, %U A347159 125,351,27,8,0,160,0,8,370,8,125,35,0,8,27,476,0,35,0,8,152 %N A347159 Sum of cubes of distinct prime divisors of n that are <= sqrt(n). %F A347159 G.f.: Sum_{k>=1} prime(k)^3 * x^(prime(k)^2) / (1 - x^prime(k)). %t A347159 Table[DivisorSum[n, #^3 &, # <= Sqrt[n] && PrimeQ[#] &], {n, 1, 75}] %t A347159 nmax = 75; CoefficientList[Series[Sum[Prime[k]^3 x^(Prime[k]^2)/(1 - x^Prime[k]), {k, 1, nmax}], {x, 0, nmax}], x] // Rest %Y A347159 Cf. A001158, A005064, A005067, A063962, A097974, A098002, A280375, A347157, A347160. %K A347159 nonn %O A347159 1,4 %A A347159 _Ilya Gutkovskiy_, Aug 20 2021