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 A348640 #16 Apr 21 2025 04:45:57 %S A348640 1,4,2,4,36,36,1764,2352,115248,416333400,107225418169800, %T A348640 562904175532925098845000,1857180475556752726157213892231405000, %U A348640 424594887903818740281781489141947299544299873193026842805000,27616236678198713245845367246922973802897093015095664467139174240964043973815461112656369429045000 %N A348640 Denominators of the remainders in the greedy Egyptian fraction representation of 1 with square denominators (A348626). %C A348640 a(n) divides LCM( A348626(1), ..., A348626(n) )^2. %F A348640 a(n) = denominator of 1 - Sum_{k=1..n} 1/A348626(k)^2. %e A348640 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 A348640 (PARI) s=1; for(n=1, 20, print1(denominator(s), ", "); t=sqrtint(floor(1/s))+1; s-=1/t^2); %Y A348640 Cf. A000058, A348626, A348641 (numerators), A382719. %K A348640 nonn,frac %O A348640 0,2 %A A348640 _Max Alekseyev_, Oct 26 2021