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A002363
Denominators of continued fraction convergents to fifth root of 5.
(Formerly M0703 N0260)
3
1, 2, 3, 5, 8, 21, 29, 79, 661, 740, 19161, 19901, 118666, 138567, 3167140, 3305707, 29612796, 32918503, 62531299, 595700194, 658231493, 1253931687, 5673958241, 6927889928, 19529738097, 26457628025, 72444994147, 98902622172, 270250238491, 639403099154
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
R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), no. 8, 697-712. [Annotated scanned copy]
MAPLE
numtheory:-cfrac(5^(1/5), 1000, 'con'):
map(denom, con); # Robert Israel, May 13 2018
MATHEMATICA
Denominator[Convergents[Surd[5, 5], 30]] (* Harvey P. Dale, Jul 16 2016 *)
CROSSREFS
Numerators in A002364.
Sequence in context: A135568 A103004 A102016 * A041457 A161468 A229040
KEYWORD
nonn,frac
EXTENSIONS
More terms from Herman P. Robinson
More terms from Harvey P. Dale, Jul 16 2016
Offset changed by Andrew Howroyd, Jul 05 2024
STATUS
approved