A002353 - OEIS

%I M1733 N0686 #27 Jul 04 2024 20:41:05

%S 1,2,7,9,43,52,303,355,658,4303,9264,50623,414248,1293367,4294349,

%T 18470763,41235875,265886013,1104779927,4685005721,5789785648,

%U 22054362665,49898510978,171749895599,736898093374,908647988973,4371490049266,40252058432367

%N Denominators of convergents to cube root of 3.

%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 Vincenzo Librandi, <a href="/A002353/b002353.txt">Table of n, a(n) for n = 0..999</a>

%t Denominator[Convergents[3^(1/3), 40]] (* _Vincenzo Librandi_, Sep 09 2013 *)

%o (PARI) a(n)= contfracpnqn(contfrac(3^(1/3), n))[2, 1]; \\ _Michel Marcus_, Sep 08 2013

%Y Cf. A002354 (numerators), A002581.

%K nonn,frac

%O 0,2

%A _N. J. A. Sloane_

%E More terms from _Michel Marcus_, Sep 08 2013

%E Offset changed by _Andrew Howroyd_, Jul 04 2024