cp's OEIS Frontend

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.

A041536 Numerators of continued fraction convergents to sqrt(285).

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%I A041536 #17 Jul 09 2025 00:59:27
%S A041536 16,17,135,287,2144,2431,79936,82367,656505,1395377,10424144,11819521,
%T A041536 388648816,400468337,3191927175,6784322687,50682185984,57466508671,
%U A041536 1889610463456,1947076972127,15519149268345,32985375508817,246416777830064,279402153338881
%N A041536 Numerators of continued fraction convergents to sqrt(285).
%H A041536 Vincenzo Librandi, <a href="/A041536/b041536.txt">Table of n, a(n) for n = 0..200</a>
%H A041536 <a href="/index/Rec#order_12">Index entries for linear recurrences with constant coefficients</a>, signature (0, 0, 0, 0, 0, 4862, 0, 0, 0, 0, 0, -1).
%F A041536 G.f.: -(x^11 -16*x^10 +17*x^9 -135*x^8 +287*x^7 -2144*x^6 -2431*x^5 -2144*x^4 -287*x^3 -135*x^2 -17*x -16) / ((x^4 -17*x^2 +1)*(x^8 +17*x^6 +288*x^4 +17*x^2 +1)). - _Colin Barker_, Nov 08 2013
%t A041536 Numerator[Convergents[Sqrt[285], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)
%Y A041536 Cf. A041537.
%K A041536 nonn,cofr,frac,easy
%O A041536 0,1
%A A041536 _N. J. A. Sloane_
%E A041536 More terms from _Colin Barker_, Nov 08 2013