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.

A002358 Numerators of convergents to cube root of 5.

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%I A002358 M1429 N0563 #23 Jul 04 2024 20:06:46
%S A002358 1,2,5,12,53,171,566,737,4251,4988,9239,41944,428679,7329487,7758166,
%T A002358 115943811,123701977,239645788,731522646953,731762292741,
%U A002358 1463284939694,2195047232435,3658332172129,5853379404564,9511711576693,24876802557950,59265316692593
%N A002358 Numerators of convergents to cube root of 5.
%D A002358 D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
%D A002358 P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
%D A002358 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002358 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002358 Vincenzo Librandi, <a href="/A002358/b002358.txt">Table of n, a(n) for n = 0..999</a>
%t A002358 Numerator[Convergents[5^(1/3), 30]] (* _Vincenzo Librandi_, Sep 08 2013 *)
%o A002358 (PARI) a(n)= contfracpnqn(contfrac(5^(1/3), n))[1, 1]; \\ _Michel Marcus_, Sep 07 2013
%Y A002358 Cf. A002357 (denominators), A005481.
%K A002358 nonn,frac
%O A002358 0,2
%A A002358 _N. J. A. Sloane_, _Herman P. Robinson_
%E A002358 More terms from _Vincenzo Librandi_, Sep 08 2013