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 A105597 #11 Jan 24 2024 01:21:12
%S A105597 1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,
%T A105597 1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,
%U A105597 0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1
%N A105597 Central numbers in a Moebius-binomial triangle.
%C A105597 Central numbers in A105595.
%C A105597 There seems to be a typo in above comment, maybe A105594 was intended? - _Antti Karttunen_, Aug 27 2017
%C A105597 Partial sums are A105598.
%H A105597 Antti Karttunen, <a href="/A105597/b105597.txt">Table of n, a(n) for n = 0..65537</a>
%H A105597 <a href="/index/Ch#char_fns">Index entries for characteristic functions</a>
%F A105597 a(n) = binomial(abs(mu(n)), abs(mu(floor(n/2)))).
%t A105597 a[n_]:= Binomial[Abs[MoebiusMu[n]],Abs[MoebiusMu[Floor[n/2]]]];Table[a[n],{n,0,100}] (* _James C. McMahon_, Jan 23 2024 *)
%o A105597 (PARI) A105597(n) = if(n<2,1,binomial(abs(moebius(n)), abs(moebius(n\2)))); \\ _Antti Karttunen_, Aug 27 2017
%K A105597 easy,nonn
%O A105597 0,1
%A A105597 _Paul Barry_, Apr 14 2005