A002362 Numerators of convergents to fifth root of 2. (Formerly M4336 N1815)

1, 7, 8, 23, 31, 54, 85, 309, 7810, 8119, 40286, 128977, 427217, 3119496, 162641009, 165760505, 494162019, 1648246562, 3790655143, 58508073707, 120806802557, 300121678821, 1321293517841, 21440817964277, 44202929446395, 330861324089042, 375064253535437

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

Numerator[Convergents[2^(1/5), 30]] (* Vincenzo Librandi, Sep 08 2013 *)

Prog

(PARI) a(n)= contfracpnqn(contfrac(2^(1/5), n))[1, 1]; \\ Michel Marcus, Sep 07 2013

Crossrefs

Cf. A002361, A005531.

Sequence in context: A325322 A288068 A058537 * A042417 A042845 A295337

Adjacent sequences: A002359 A002360 A002361 * A002363 A002364 A002365

Keyword

nonn,frac

Author

N. J. A. Sloane

Extensions

More terms from Herman P. Robinson

More terms from Michel Marcus, Sep 07 2013

a(26)-a(27) corrected by Vincenzo Librandi, Sep 08 2013

Status

approved