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A002359
Denominators of continued fraction convergents to cube root of 6.
(Formerly M3815 N1561)
3
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
OFFSET
0,3
REFERENCES
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).
LINKS
MATHEMATICA
Denominator[Convergents[Power[6, (3)^-1], 30]] (* Harvey P. Dale, Nov 26 2011 *)
PROG
(PARI) a(n) = contfracpnqn(contfrac(6^(1/3), n))[2, 1]; \\ Michel Marcus, Aug 23 2013
CROSSREFS
Cf. A002360 (numerators), A002949, A005486.
Sequence in context: A161852 A319537 A345015 * A292754 A090518 A057726
KEYWORD
nonn,easy,frac
EXTENSIONS
More terms from Herman P. Robinson
More terms from Pab Ter (pabrlos(AT)yahoo.com), May 08 2004
Definition clarified by Harvey P. Dale, Nov 26 2011
Offset changed by Andrew Howroyd, Jul 05 2024
STATUS
approved