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 A380049 #38 Jun 27 2025 17:20:39
%S A380049 0,1,3,4,6,7,9,12,14,15,17,20,24,27,29,30,32,35,39,44,48,51,55,58,60,
%T A380049 61,63,66,70,75,81,88,94,99,103,106,110,113,115,116,118,121,125,130,
%U A380049 136,141,147,154,160,167,173,180,188,195,201,206,210,213,217,220,224,227,231,234,236
%N A380049 Partial sums of A072203.
%H A380049 Vaclav Kotesovec, <a href="/A380049/a380049.jpg">Plot of a(n) / (2*n^(3/2)/(-3*zeta(1/2))) for n = 1..1000000</a>
%F A380049 a(n) = Sum_{k=1..n} A072203(k).
%F A380049 Conjecture: The average value of a(n) is 2*n^(3/2)/(-3*zeta(1/2)). - _Vaclav Kotesovec_, Jan 15 2025
%t A380049 Accumulate[Accumulate[Table[-LiouvilleLambda[n], {n, 2, 100}]]] (* _Vaclav Kotesovec_, Jan 15 2025 *)
%o A380049 (PARI) f(n) = 1 - sum(i=1, n, (-1)^bigomega(i)); \\ A072203
%o A380049 a(n) = sum(k=1, n, f(k)); \\ _Michel Marcus_, Feb 06 2025
%Y A380049 Cf. A058933, A072203.
%K A380049 nonn
%O A380049 1,3
%A A380049 _Tsuyoshi Hanatate_, Jan 10 2025