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 A362029 #16 Apr 05 2023 13:31:22 %S A362029 1,1,2,-2,7,-1,8,-8,8,2,9,-9,22,-8,23,-23,40,-40,59,-59,80,-58,81,-81, %T A362029 81,-55,55,-55,84,-54,85,-85,118,-84,119,-119,156,-118,157,-157,198, %U A362029 -156,199,-199,199,-153,200,-200,200,-200,251,-251,304,-304,359,-359,416,-358,417,-417,478,-416,416 %N A362029 a(n) = Sum_{k=1..n} (-1)^(n-k) * k * mu(k)^2, where mu(k) is the Moebius function. %H A362029 Seiichi Manyama, <a href="/A362029/b362029.txt">Table of n, a(n) for n = 1..10000</a> %F A362029 G.f.: (Sum_{k>=1} mu(k)^2 * k * x^k) / (1 + x). %F A362029 a(n) = -a(n-1) + |A055615(n)| for n > 1. %o A362029 (PARI) a(n) = sum(k=1, n, (-1)^(n-k)*k*moebius(k)^2); %Y A362029 Cf. A008683, A066779, A055615, A362021, A362028. %K A362029 sign,easy %O A362029 1,3 %A A362029 _Seiichi Manyama_, Apr 05 2023