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A002361
Denominators of continued fraction convergents to fifth root of 2.
(Formerly M4062 N1684)
3
1, 6, 7, 20, 27, 47, 74, 269, 6799, 7068, 35071, 112281, 371914, 2715679, 141587222, 144302901, 430193024, 1434881973, 3299956970, 50934236523, 105168430016, 261271096555, 1150252816236, 18665316156331, 38480885128898, 288031512058617, 326512397187515
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
Denominator[Convergents[2^(1/5), 30]] (* Harvey P. Dale, Apr 27 2012 *)
PROG
(PARI) a(n)= contfracpnqn(contfrac(2^(1/5), n+1))[2, 1]; \\ Michel Marcus, Sep 07 2013
CROSSREFS
Cf. A002362 (numerators), A002950, A005531.
Sequence in context: A175262 A345911 A081348 * A041185 A042389 A287859
KEYWORD
nonn,frac
EXTENSIONS
More terms from Herman P. Robinson
Definition clarified and more terms from Harvey P. Dale, Apr 27 2012
Offset changed by Andrew Howroyd, Jul 05 2024
STATUS
approved