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 A286179 #11 Dec 12 2023 13:43:36 %S A286179 32,484256,289919598688,8368036149759509152, %T A286179 9542829935669464786892890208,237478537202498785375436854135610527328, %U A286179 5320823767933620492346565093167366807147013946077792,577349384176263735966013123947670534373854750755384636719202336 %N A286179 Numerator of Sum_{i=1..n}(A285388(i)*A285389(i+1))/(A285388(i+1)*A285389(i)). %C A286179 Conjecture: floor(a(n)/A286178(n)) = n. %t A286179 a388[i_] := Numerator[2^(1 - 2 i^2) i Binomial[2 i^2, i^2]]; a389[i_] := Denominator[2^(1 - 2 i^2) i Binomial[2 i^2, i^2]]; Numerator[Table[Sum[(a388[i]/a389[i])/((a388[i + 1]/a389[i + 1])), {i, 1, n}], {n, 1, 10}]] %Y A286179 Cf. A285388, A285389, A286178 (denominators). %K A286179 nonn,frac %O A286179 1,1 %A A286179 _Ralf Steiner_, May 04 2017