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 A348641 #11 Apr 21 2025 04:46:13 %S A348641 1,3,1,1,5,1,13,1,1,11,817,10252633,100287877217, %T A348641 6528073355352461938177,62417959978427831731164878741347502689913, %U A348641 70288410375198910851231147751405037331087262102769745506188780420713,1637848790982120651632223869737258212156187623721099799629950249330321081907360495884020503587938103781073751577 %N A348641 Numerators of the remainders in the greedy Egyptian fraction representation of 1 with square denominators (A348626). %F A348641 a(n) = numerator of 1 - Sum_{k=1..n} 1/A348626(k)^2. %e A348641 The first few remainders are 1, 3/4, 1/2, 1/4, 5/36, 1/36, 13/1764, 1/2352, 1/115248, 11/416333400, ... - _N. J. A. Sloane_, Apr 21 2025 %o A348641 (PARI) s=1; for(n=1, 20, print1(numerator(s), ", "); t=sqrtint(floor(1/s))+1; s-=1/t^2); %Y A348641 Cf. A000058, A348626, A348640 (denominators), A382719. %K A348641 nonn,frac %O A348641 0,2 %A A348641 _Max Alekseyev_, Oct 26 2021