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A002364
Numerators of continued fraction convergents to fifth root of 5.
(Formerly M2342 N0925)
2
1, 3, 4, 7, 11, 29, 40, 109, 912, 1021, 26437, 27458, 163727, 191185, 4369797, 4560982, 40857653, 45418635, 86276288, 821905227, 908181515, 1730086742, 7828528483, 9558615225, 26945758933, 36504374158, 99954507249, 136458881407, 372872270063, 882203421533
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]
MATHEMATICA
Numerator[Convergents[Surd[5, 5], 30]] (* Harvey P. Dale, Dec 06 2015 *)
CROSSREFS
Cf. A002363 (denominators), A002951 A005534.
Sequence in context: A049863 A025068 A049928 * A042827 A041631 A042655
KEYWORD
nonn,frac
EXTENSIONS
Definition clarified by and more terms from Harvey P. Dale, Dec 06 2015
Offset changed by Andrew Howroyd, Jul 05 2024
STATUS
approved