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 A042937 #23 Jun 26 2022 23:37:00 %S A042937 1,1,2,3,5,8,53,114,281,4329,8939,22207,142181,164388,306569,470957, %T A042937 777526,1248483,78183472,79431955,157615427,237047382,394662809, %U A042937 631710191,4184923955,9001558101,22188040157,341822160456,705832361069,1753486882594 %N A042937 Denominators of continued fraction convergents to sqrt(1000). %H A042937 Vincenzo Librandi, <a href="/A042937/b042937.txt">Table of n, a(n) for n = 0..200</a> %H A042937 <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, 78960998, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1). %e A042937 sqrt(1000) = 31.62... = 31 + 1/(1 + 1/(1 + ...)) with convergents 31/1, 32/1, 63/2, 95/3, 158/5, ... - _M. F. Hasler_, Nov 02 2019 %t A042937 Denominator[Convergents[Sqrt[1000], 30]] (* _Vincenzo Librandi_, Feb 01 2014 *) %o A042937 (PARI) A42937=contfracpnqn(c=contfrac(sqrt(1000)),#c-1)[2,] \\ Possibly incorrect last term ignored. NB: a(n) = A42937[n+1]. For more terms use e.g. \p999, or compute any a(n) from this as in A042936. - _M. F. Hasler_, Nov 01 2019 %Y A042937 Cf. A042936 (numerators), A040968 (continued fraction), A010467 (decimals). %Y A042937 Analog for sqrt(m): A000129 (m=2), A002530 (m=3), A001076 (m=5), A041007 (m=6), A041009 (m=7), A041011 (m=8), A005663 (m=10), A041015 (m=11), A041017 (m=12), ..., A042933 (m=998), A042935 (m=999). %K A042937 nonn,frac,easy %O A042937 0,3 %A A042937 _N. J. A. Sloane_ %E A042937 More terms from _Vincenzo Librandi_, Feb 01 2014