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 A229898 #35 Mar 15 2021 01:55:26
%S A229898 0,1,2,5,8,13,24,37,56,83,140,205,306,439,632,983,1418,2035,2886,4063,
%T A229898 5618,8369,11666,16423,22716,31477,42782,58385,82700,113161,155028,
%U A229898 210769,285644,383687,514496,682921,940326,1256299,1687364,2245691,2997182,3955447,5233314
%N A229898 Number of c-squarefree numbers (A233564) less than 2^n.
%C A229898 For n >= 1, a(n) is the total number of compositions of positive integers less than or equal to n with distinct parts (cf. A032020).
%C A229898 For example, numbers of such compositions of 1,2,3,4,5 are 1,1,3,3,5. So a(5)=13.
%H A229898 <a href="/index/Bi#binary">Index entries for sequences related to binary expansion of n</a>
%F A229898 a(n) - a(n-1) = A032020(n).
%F A229898 G.f.: (1/(1 - x)) * Sum_{i>=1} i!*x^(i*(i+1)/2) * Product_{j=1..i} 1/(1 - x^j). - _Ilya Gutkovskiy_, Apr 04 2017
%Y A229898 Cf. A233564, A032020.
%K A229898 nonn,base
%O A229898 0,3
%A A229898 _Vladimir Shevelev_, Dec 19 2013
%E A229898 More terms from _Peter J. C. Moses_, Dec 19-20 2013