A002353 Denominators of convergents to cube root of 3. (Formerly M1733 N0686)

1, 2, 7, 9, 43, 52, 303, 355, 658, 4303, 9264, 50623, 414248, 1293367, 4294349, 18470763, 41235875, 265886013, 1104779927, 4685005721, 5789785648, 22054362665, 49898510978, 171749895599, 736898093374, 908647988973, 4371490049266, 40252058432367

Offset

1,2

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 = 1..1000

Mathematica

Denominator[Convergents[3^(1/3), 40]] (* Vincenzo Librandi, Sep 09 2013 *)

Prog

(PARI) a(n)= contfracpnqn(contfrac(3^(1/3), n))[2, 1]; \\ Michel Marcus, Sep 08 2013

Crossrefs

Cf. A002354, A002581.

Sequence in context: A042063 A360734 A041717 * A041073 A079942 A272412

Adjacent sequences: A002350 A002351 A002352 * A002354 A002355 A002356

Keyword

nonn,frac

Author

N. J. A. Sloane

Extensions

More terms from Michel Marcus, Sep 08 2013

Status

approved