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 A042934 #18 Jun 26 2022 23:36:34
%S A042934 31,32,63,95,158,885,5468,6353,37233,80819,441328,522147,3574210,
%T A042934 18393197,21967407,40360604,62328011,102688615,6429022141,6531710756,
%U A042934 12960732897,19492443653,32453176550
%N A042934 Numerators of continued fraction convergents to sqrt(999).
%H A042934 Vincenzo Librandi, <a href="/A042934/b042934.txt">Table of n, a(n) for n = 0..200</a>
%H A042934 <a href="/index/Rec#order_36">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 205377230, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1).
%F A042934 a(n) = 205377230*a(n-18) - a(n-36). - _Wesley Ivan Hurt_, May 28 2021
%t A042934 Numerator[Convergents[Sqrt[999], 30]] (* _Vincenzo Librandi_, Dec 10 2013 *)
%o A042934 (PARI) A42934=contfracpnqn(c=contfrac(sqrt(999)), #c)[1,][^-1] \\ Discard possibly incorrect last element. NB: a(n) = A42934[n+1]! For more terms, use:
%o A042934 A042934(n)={n<#A42934 || A42934_upto(n+10); A42934[n+1]}
%o A042934 {A42934_upto(N,A=Vec(A42934,N))=for(n=#A42934+1,N, A[n]=205377230*A[n-18]-A[n-36]); A42934=A} \\ _M. F. Hasler_, Nov 01 2019
%Y A042934 Cf. A042935 (denominators).
%Y A042934 Analog for other sqrt(m): A001333 (m=2), A002531 (m=3), A001077 (m=5), A041006 (m=6), A041008 (m=7), A041010 (m=8), A005667 (m=10), A041014 (m=11), ..., A042936 (m=1000).
%K A042934 nonn,frac,easy
%O A042934 0,1
%A A042934 _N. J. A. Sloane_