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 A329305 #13 Feb 16 2025 08:33:58 %S A329305 1,1,9,244,15625,1953369,421943329,144728515216,74101421733921, %T A329305 54020081172543625,54020155273965358921,71900880689729065267476, %U A329305 124244775852007098747557449,272965844447740285677448982929,749018401409375195906018756714625 %N A329305 Denominators of convergents to A309930, the constant whose continued fraction representation consists of the cubes, [0; 1, 8, 27, 64, ...]. %H A329305 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ContinuedFraction.html">Continued Fraction</a> %F A329305 a(0) = 1, a(1) = 1, a(n) = n^3*a(n-1) + a(n-2) for n >= 2. %e A329305 Convergents to [0; 1, 8, 27, 64, ...]: 0, 1, 8/9, 217/244, 13896/15625, 1737217/1953369, 375252768/421943329, ... %o A329305 (PARI) A329305_up_to_n(n) = my(v=vector(n+1)); for(i=1, n+1, if(i==1, v[i]=1, if(i==2, v[i]=1, v[i]=(i-1)^3*v[i-1]+v[i-2]))); v %Y A329305 Cf. A309930, A329304 (numerators), A001040, A036246. %K A329305 nonn,frac %O A329305 0,3 %A A329305 _Jianing Song_, Nov 30 2019