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A002359
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Denominators of continued fraction convergents to cube root of 6.
(Formerly M3815 N1561)
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3
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1, 1, 5, 11, 82, 257, 130638, 130895, 785113, 4056460, 4841573, 8898033, 13739606, 36377245, 50116851, 86494096, 2125975155, 2212469251, 4338444406, 6550913657, 23991185377, 78524469788, 2379725279017, 9597425585856, 98353981137577
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OFFSET
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0,3
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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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Denominator[Convergents[Power[6, (3)^-1], 30]] (* Harvey P. Dale, Nov 26 2011 *)
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PROG
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(PARI) a(n) = contfracpnqn(contfrac(6^(1/3), n))[2, 1]; \\ Michel Marcus, Aug 23 2013
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CROSSREFS
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KEYWORD
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nonn,easy,frac
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AUTHOR
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EXTENSIONS
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More terms from Pab Ter (pabrlos(AT)yahoo.com), May 08 2004
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STATUS
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approved
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