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 A329304 #13 Feb 16 2025 08:33:58 %S A329304 0,1,8,217,13896,1737217,375252768,128713436641,65901654812960, %T A329304 48042435072084481,48042500973739293960,63944616838482072345241, %U A329304 110496345939397994751870408,242760535973474232951931631617,666135021207559234618095149027456 %N A329304 Numerators of convergents to A309930, the constant whose continued fraction representation consists of the cubes, [0; 1, 8, 27, 64, ...]. %H A329304 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ContinuedFraction.html">Continued Fraction</a> %F A329304 a(0) = 0, a(1) = 1, a(n) = n^3*a(n-1) + a(n-2) for n >= 2. %e A329304 Convergents to [0; 1, 8, 27, 64, ...]: 0, 1, 8/9, 217/244, 13896/15625, 1737217/1953369, 375252768/421943329, ... %o A329304 (PARI) A329304_up_to_n(n) = my(v=vector(n+1)); for(i=1, n+1, if(i==1, v[i]=0, if(i==2, v[i]=1, v[i]=(i-1)^3*v[i-1]+v[i-2]))); v %Y A329304 Cf. A309930, A329305 (denominators), A001053, A036245. %K A329304 nonn,frac %O A329304 0,3 %A A329304 _Jianing Song_, Nov 30 2019