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 A105598 #8 Mar 15 2014 10:16:16
%S A105598 1,2,3,4,4,5,6,7,8,9,10,11,11,12,13,14,15,16,17,18,18,19,20,21,22,23,
%T A105598 24,24,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38,39,39,39,40,41,42,
%U A105598 43,44,45,45,46,47,48,49,50,51,52,52,53,54,54,55,56,57,58,58,59,60,61,62
%N A105598 Partial sums of central numbers for a Moebius-binomial triangle.
%C A105598 Partial sums of A105597.
%H A105598 Vincenzo Librandi, <a href="/A105598/b105598.txt">Table of n, a(n) for n = 0..10000</a>
%F A105598 a(n)=sum{k=0..n, binomial(abs(mu(k)), abs(mu(floor(k/2))))}
%t A105598 Accumulate[Table[Binomial[Abs[MoebiusMu[x]],Abs[MoebiusMu[Floor[x/2]]]],{x,0,80}]] (* _Harvey P. Dale_, Mar 13 2014 *)
%K A105598 easy,nonn
%O A105598 0,2
%A A105598 _Paul Barry_, Apr 15 2005