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A002360 Numerators of convergents to cube root of 6.
(Formerly M1918 N0756)
2
1, 2, 9, 20, 149, 467, 237385, 237852, 1426645, 7371077, 8797722, 16168799, 24966521, 66101841, 91068362, 157170203, 3863153234, 4020323437, 7883476671, 11903800108, 43594876995, 142688431093, 4324247809785, 17439679670233, 178721044512115, 28255364712584403 (list; graph; refs; listen; history; text; internal format)
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

Harvey P. Dale, Table of n, a(n) for n = 1..1000

MATHEMATICA

Numerator[Convergents[Power[6, (3)^-1], 30]] (* Harvey P. Dale, Oct 16 2011 *)

PROG

(PARI) a(n) = contfracpnqn(contfrac(6^(1/3), n))[1, 1]; \\ Michel Marcus, Aug 23 2013

CROSSREFS

Cf. A002359, A005486.

Sequence in context: A264294 A280295 A041007 * A100516 A041285 A002888

Adjacent sequences:  A002357 A002358 A002359 * A002361 A002362 A002363

KEYWORD

nonn,frac

AUTHOR

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

EXTENSIONS

Definition clarified by, and more terms from, Harvey P. Dale, Oct 16 2011

STATUS

approved

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Last modified November 18 14:37 EST 2019. Contains 329262 sequences. (Running on oeis4.)