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A002358
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Numerators of convergents to cube root of 5.
(Formerly M1429 N0563)
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2
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1, 2, 5, 12, 53, 171, 566, 737, 4251, 4988, 9239, 41944, 428679, 7329487, 7758166, 115943811, 123701977, 239645788, 731522646953, 731762292741, 1463284939694, 2195047232435, 3658332172129, 5853379404564, 9511711576693, 24876802557950, 59265316692593
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OFFSET
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1,2
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REFERENCES
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D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
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LINKS
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MATHEMATICA
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PROG
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(PARI) a(n)= contfracpnqn(contfrac(5^(1/3), n))[1, 1]; \\ Michel Marcus, Sep 07 2013
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CROSSREFS
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KEYWORD
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nonn,frac
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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