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 A098853 #10 May 12 2023 14:21:28 %S A098853 0,1,2,4,6,18,36,12,30,162,18,330,136,858,1092,198,1470,882,9520, %T A098853 13260,124800,1216,33966,603060,27742,2141898,677586 %N A098853 Consider the smallest denominator q such that the Sylvester expansion of n/q has n terms. Here q has the form q = k*n+1 and we set a(n) = k. %H A098853 Matthijs Coster, <a href="http://www.coster.demon.nl/sequences/index.html">Some sequences</a>. %F A098853 a(n) = (A048860(n)-1)/n. %e A098853 a(5)=6 because 5*6+1 = 31 and 5/31 = 1/7 + 1/55 + 1/3979 + 1/23744683 + 1/1127619917796295. %o A098853 (PARI) a(n)=if(n==1,q=1,q=n+1;while(1,c=1;P=n;Q=q;while(Q%P>0,c++;D=Q\P+1;P=P*D-Q;Q*=D);if(c==n,break);q+=n));return((q-1)/n) %Y A098853 Cf. A048860. %K A098853 nonn,more %O A098853 1,3 %A A098853 _Matthijs Coster_, Oct 11 2004 %E A098853 Two more terms computed from A048860 by _Max Alekseyev_, Mar 08 2010 %E A098853 a(20)-a(27) from _Robert Gerbicz_, Nov 19 2010