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 A341113 #19 Feb 16 2025 08:34:01 %S A341113 1,1,17,18,89,196,1461,1657,3118,7893,18904,140221,579788,720009, %T A341113 2019806,2739815,166408706,169148521,673854269,843002790,2359859849, %U A341113 19721881582,100969267759,120691149341,342351566441,463042715782,805394282223,1268436998005,7147579272248 %N A341113 Numerators of continued fraction convergents to 2^(1/12). %H A341113 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/ContinuedFraction.html">Continued Fraction</a> %F A341113 a(0) = 1, a(1) = 1, a(n) = A103922(n-1) * a(n-1) + a(n-2) for n >1. %e A341113 Convergents to [1; 16, 1, 4, 2, 7, 1, 1, 2, 2, ...]: 1, 17/16, 18/17, 89/84, 196/185, 1461/1379, 1657/1564, 3118/2943, 7893/7450, 18904/17843, ... %t A341113 Join[{1}, Numerator[Convergents[2^(1/12), 28]]] (* _Amiram Eldar_, Apr 28 2021 *) %Y A341113 For denominators see A341114. %Y A341113 Cf. A001333, A010774, A103922. %K A341113 nonn,frac %O A341113 0,3 %A A341113 _Seiichi Manyama_, Feb 05 2021