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A005485
Denominators of continued fraction convergents to cube root of 7.
(Formerly M4781)
3
1, 1, 11, 23, 379, 781, 1160, 5421, 12002, 17423, 377885, 395308, 1563809, 8214353, 9778162, 27770677, 37548839, 65319516, 168187871, 1915386097, 9745118356, 11660504453, 44726631715, 56387136168, 157500904051, 4308911545545, 17393147086231, 21702058631776
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 and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
LINKS
MATHEMATICA
Denominator[Convergents[7^(1/3), 40]] (* Vincenzo Librandi, Sep 08 2013 *)
PROG
(PARI) a(n)= contfracpnqn(contfrac(7^(1/3), n))[2, 1]; \\ Michel Marcus, Sep 07 2013
CROSSREFS
Cf. A005482, A005482, A005484 (numerators).
Sequence in context: A059327 A042005 A153318 * A041240 A193855 A295645
KEYWORD
nonn,frac
EXTENSIONS
More terms from Herman P. Robinson.
More terms from Michel Marcus, Sep 07 2013
Inserted a(27) by Vincenzo Librandi, Sep 08 2013
Offset changed by Andrew Howroyd, Jul 05 2024
STATUS
approved