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A002354
Numerators of convergents to cube root of 3.
(Formerly M2830 N1140)
3
1, 3, 10, 13, 62, 75, 437, 512, 949, 6206, 13361, 73011, 597449, 1865358, 6193523, 26639450, 59472423, 383473988, 1593368375, 6756947488, 8350315863, 31807895077, 71966106017, 247706213128, 1062790958529, 1310497171657, 6304779645157, 58053513978070
OFFSET
0,2
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
MATHEMATICA
Numerator[Convergents[3^(1/3), 30]] (* Vincenzo Librandi, Sep 09 2013 *)
PROG
(PARI) a(n)= contfracpnqn(contfrac(3^(1/3), n))[1, 1]; \\ Michel Marcus, Sep 08 2013
CROSSREFS
Cf. A002353 (denominators), A002581.
Sequence in context: A041985 A081519 A041121 * A079943 A041865 A357628
KEYWORD
nonn,frac
EXTENSIONS
More terms from Herman P. Robinson
More terms from Michel Marcus, Sep 08 2013
Offset changed by Andrew Howroyd, Jul 04 2024
STATUS
approved