A002359 - OEIS

A002359

Denominators of continued fraction convergents to cube root of 6.
(Formerly M3815 N1561)

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

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

Vincenzo Librandi, Table of n, a(n) for n = 0..999

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

Adjacent sequences: A002356 A002357 A002358 * A002360 A002361 A002362

KEYWORD

nonn,easy,frac

AUTHOR

N. J. A. Sloane

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