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%I M1429 N0563 #19 Jun 18 2015 12:28:31
%S 1,2,5,12,53,171,566,737,4251,4988,9239,41944,428679,7329487,7758166,
%T 115943811,123701977,239645788,731522646953,731762292741,
%U 1463284939694,2195047232435,3658332172129,5853379404564,9511711576693,24876802557950,59265316692593
%N Numerators of convergents to cube root of 5.
%D D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
%D P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Vincenzo Librandi, <a href="/A002358/b002358.txt">Table of n, a(n) for n = 1..1000</a>
%t Numerator[Convergents[5^(1/3), 30]] (* _Vincenzo Librandi_, Sep 08 2013 *)
%o (PARI) a(n)= contfracpnqn(contfrac(5^(1/3), n))[1, 1]; \\ _Michel Marcus_, Sep 07 2013
%Y Cf. A002357, A005481.
%K nonn,frac
%O 1,2
%A _N. J. A. Sloane_, _Herman P. Robinson_
%E More terms from _Vincenzo Librandi_, Sep 08 2013
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