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A002364
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Numerators of convergents to fifth root of 5.
(Formerly M2342 N0925)
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1
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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
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OFFSET
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1,2
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REFERENCES
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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).
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LINKS
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Table of n, a(n) for n=1..30.
R. K. Guy, The strong law of small numbers. Amer. Math. Monthly 95 (1988), no. 8, 697-712. [Annotated scanned copy]
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MATHEMATICA
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Numerator[Convergents[Surd[5, 5], 30]] (* Harvey P. Dale, Dec 06 2015 *)
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CROSSREFS
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Sequence in context: A049863 A025068 A049928 * A042827 A041631 A042655
Adjacent sequences: A002361 A002362 A002363 * A002365 A002366 A002367
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KEYWORD
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nonn
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AUTHOR
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N. J. A. Sloane, Herman P. Robinson
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EXTENSIONS
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Definition clarified by and more terms from Harvey P. Dale, Dec 06 2015
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STATUS
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approved
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