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 A105235 #13 Jan 22 2024 18:36:26
%S A105235 1,2,2,3,4,5,5,6,7,8,8,9,10,11,11,12,13,14,15,16,17,18,18,19,20,21,21,
%T A105235 22,23,24,24,25,26,27,27,28,29,30,30,31,32,33,33,34,35,36,36,37,38,39,
%U A105235 40,41,42,43,44,45,46,47,47,48,49,50,50,51,52,53,53,54,55,56,56,57,58
%N A105235 Partial sums of the central column of a Moebius-binomial triangle.
%H A105235 Andrew Howroyd, <a href="/A105235/b105235.txt">Table of n, a(n) for n = 0..10000</a>
%F A105235 a(n) = 1 + Sum_{k=1..n} binomial(abs(mu(2*k)), abs(mu(k))).
%t A105235 a[n_]:=Binomial[Abs[MoebiusMu[2n]],Abs[MoebiusMu[n]]];Accumulate[Table[a[n],{n,0,72}]] (* _James C. McMahon_, Jan 22 2024 *)
%o A105235 (PARI) seq(n) = {my(v=vector(1+n)); v[1]=1; for(k=1, n, v[1+k] = v[k] + binomial(abs(moebius(2*k)), abs(moebius(k)))); v} \\ _Andrew Howroyd_, Jan 22 2024
%Y A105235 Partial sums of A105234.
%Y A105235 Cf. A008683.
%K A105235 easy,nonn
%O A105235 0,2
%A A105235 _Paul Barry_, Apr 14 2005