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 A329435 #5 Nov 13 2019 15:09:19 %S A329435 0,1,1,3,2,6,4,10,9,15,14,29,24,39,44,65,66,102,105,154,170,225,253, %T A329435 356,385,503,583,749,847,1100,1238,1572,1809,2234,2579,3219,3660,4484, %U A329435 5195,6314,7245,8800,10087,12141,14011,16678,19196,22930,26256,31099,35784 %N A329435 Expansion of Sum_{k>=1} (-1 + Product_{j>=2} 1 / (1 - x^(k*j))). %C A329435 Inverse Moebius transform of A002865. %F A329435 G.f.: Sum_{k>=1} A002865(k) * x^k / (1 - x^k). %F A329435 a(n) = Sum_{d|n} A002865(d). %t A329435 nmax = 51; CoefficientList[Series[Sum[-1 + Product[1/(1 - x^(k j)), {j, 2, nmax}], {k, 1, nmax}], {x, 0, nmax}], x] // Rest %Y A329435 Cf. A002865, A047966, A047968, A329436. %K A329435 nonn %O A329435 1,4 %A A329435 _Ilya Gutkovskiy_, Nov 13 2019