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%I M1918 N0756 #32 Jul 05 2024 10:07:25
%S 1,2,9,20,149,467,237385,237852,1426645,7371077,8797722,16168799,
%T 24966521,66101841,91068362,157170203,3863153234,4020323437,
%U 7883476671,11903800108,43594876995,142688431093,4324247809785,17439679670233,178721044512115,28255364712584403
%N Numerators of continued fraction convergents to cube root of 6.
%D D. H. Lehmer, Guide to Tables in the Theory of Numbers. Bulletin No. 105, National Research Council, Washington, DC, 1941, p. 67.
%D P. Seeling, Verwandlung der irrationalen Groesse ... in einen Kettenbruch, Archiv. Math. Phys., 46 (1866), 80-120.
%D N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H Harvey P. Dale, <a href="/A002360/b002360.txt">Table of n, a(n) for n = 0..999</a>
%t Numerator[Convergents[Power[6, (3)^-1],30]] (* _Harvey P. Dale_, Oct 16 2011 *)
%o (PARI) a(n) = contfracpnqn(contfrac(6^(1/3), n))[1, 1]; \\ _Michel Marcus_, Aug 23 2013
%Y Cf. A002359 (denominators), A002949, A005486.
%K nonn,frac,changed
%O 0,2
%A _N. J. A. Sloane_, _Herman P. Robinson_
%E Definition clarified by, and more terms from, Harvey P. Dale, Oct 16 2011
%E Offset changed by _Andrew Howroyd_, Jul 05 2024
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