A005484 Numerators of continued fraction convergents to cube root of 7. (Formerly M2127)

1, 2, 21, 44, 725, 1494, 2219, 10370, 22959, 33329, 722868, 756197, 2991459, 15713492, 18704951, 53123394, 71828345, 124951739, 321731823, 3664001792, 18641740783, 22305742575, 85558968508, 107864711083, 301288390674, 8242651259281, 33271893427798, 41514544687079

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 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

Numerator[Convergents[7^(1/3), 40]] (* Vincenzo Librandi, Sep 08 2013 *)

Prog

(PARI) a(n)= contfracpnqn(contfrac(7^(1/3), n))[1, 1]; \\ Michel Marcus, Sep 07 2013

Crossrefs

Cf. A005482, A005483, A005485 (denominators).

Sequence in context: A215753 A041049 A224346 * A330201 A042455 A245546

Adjacent sequences: A005481 A005482 A005483 * A005485 A005486 A005487

Keyword

nonn,frac

Author

N. J. A. Sloane, Herman P. Robinson

Extensions

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