A002364 Numerators of convergents to fifth root of 5. (Formerly M2342 N0925)

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

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

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]

Mathematica

Numerator[Convergents[Surd[5, 5], 30]] (* Harvey P. Dale, Dec 06 2015 *)

Crossrefs

Sequence in context: A049863 A025068 A049928 * A042827 A041631 A042655

Adjacent sequences: A002361 A002362 A002363 * A002365 A002366 A002367

Keyword

nonn

Author

N. J. A. Sloane, Herman P. Robinson

Extensions

Definition clarified by and more terms from Harvey P. Dale, Dec 06 2015

Status

approved