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A002356
Numerators of convergents to cube root of 4.
(Formerly M0881 N0335)
3
1, 2, 3, 8, 19, 27, 100, 227, 781, 1008, 3805, 4813, 148195, 153008, 760227, 913235, 2586697, 24193508, 147747745, 615184488, 762932233, 1378116721, 3519165675, 26012276446, 55543718567, 192643432147, 440830582861, 633474015008, 4241674672909, 4875148687917
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
MATHEMATICA
Numerator[Convergents[Power[4, (3)^-1], 30]] (* Vincenzo Librandi, Aug 24 2013 *)
PROG
(PARI) a(n) = contfracpnqn(contfrac(4^(1/3), n))[1][1]; \\ Michel Marcus, Aug 23 2013
CROSSREFS
Cf. A002355 (denominators), A005480.
Sequence in context: A273754 A242099 A041205 * A166302 A347736 A100342
KEYWORD
nonn,frac
EXTENSIONS
More terms from Herman P. Robinson
More terms from Vincenzo Librandi, Aug 24 2013
Offset changed by Andrew Howroyd, Jul 04 2024
STATUS
approved