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.

A041590 Numerators of continued fraction convergents to sqrt(313).

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%I A041590 #11 Jul 09 2025 01:05:09
%S A041590 17,18,53,230,2583,2813,5396,19001,43398,105797,360789,466586,827375,
%T A041590 9567711,39098219,87764149,126862368,4401084661,4527947029,
%U A041590 13456978719,58355861905,655371459674,713727321579
%N A041590 Numerators of continued fraction convergents to sqrt(313).
%H A041590 Vincenzo Librandi, <a href="/A041590/b041590.txt">Table of n, a(n) for n = 0..200</a>
%H A041590 <a href="/index/Rec#order_34">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, 253724736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1).
%t A041590 Numerator[Convergents[Sqrt[313], 30]] (* _Vincenzo Librandi_, Nov 04 2013 *)
%Y A041590 Cf. A041591.
%K A041590 nonn,cofr,frac,easy
%O A041590 0,1
%A A041590 _N. J. A. Sloane_