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 A305117 #16 Aug 02 2023 05:21:25 %S A305117 0,1,2,2,2,4,4,4,4,4,6,6,6,8,8,8,8,10,10,10,10,10,10,10,10,12,14,14, %T A305117 14,16,16,16,16,16,18,18,18,20,20,20,20,22,22,22,22,22,22,22,22,22,24, %U A305117 24,24,26,26,26,26,26,28,28,28,30,30,30,30,34,34,34,34,34,34 %N A305117 a(n) = A304651(n)/4. %H A305117 Seiichi Manyama, <a href="/A305117/b305117.txt">Table of n, a(n) for n = 0..10000</a> %F A305117 a(n) = a(n-1) + A000089(n) for n > 0. %t A305117 a89[n_] := a89[n] = Product[{p, e} = pe; Which[p < 3 && e == 1, 1, p == 2 && e > 1, 0, Mod[p, 4] == 1, 2, Mod[p, 4] == 3, 0, True, a89[p^e]], {pe, FactorInteger[n]}]; %t A305117 a[n_] := a[n] = If[n == 0, 0, a[n-1] + a89[n]]; %t A305117 Table[a[n], {n, 0, 100}] (* _Jean-François Alcover_, Aug 02 2023 *) %Y A305117 Cf. A000089, A176562, A304651. %K A305117 nonn %O A305117 0,3 %A A305117 _Seiichi Manyama_, May 26 2018