A039923 - OEIS

%I #16 Jun 15 2017 22:43:51

%S 2,1,123,1,1,3,1,1,5,7,2,3,2,4,1,18,5,1,13,3,3,3,4,1,69,2,1,1,7,1,1,3,

%T 1,1,13,2,5,2,1,3,1,2,38,3,1,2,1,1,2,1,5,1,1,1446,1,1,6,1,2,5,1,1,9,4,

%U 1,5,2,1,4,5,1,1,18,3,3,2,24,3,1,1,1,2,74,3,2,4,3,1

%N Continued fraction for 2^(1/3) + sqrt(3).

%C 2^(1/3) + sqrt(3) = 2^(1/3) + 3^(1/2). - _Harry J. Smith_, May 09 2009

%H Harry J. Smith, <a href="/A039923/b039923.txt">Table of n, a(n) for n = 0..20000</a>

%H S. Lang and H. Trotter, <a href="http://dx.doi.org/10.1515/crll.1972.255.112">Continued fractions for some algebraic numbers</a>, J. Reine Angew. Math. 255 (1972), 112-134.

%H S. Lang and H. Trotter, <a href="/A002945/a002945.pdf">Continued fractions for some algebraic numbers</a>, J. Reine Angew. Math. 255 (1972), 112-134. [Annotated scanned copy]

%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>

%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>

%e 2.9919718574637504582946569... = 2 + 1/(1 + 1/(123 + 1/(1 + 1/(1 + ...)))). - _Harry J. Smith_, May 09 2009

%o (PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(2^(1/3)+3^(1/2)); for (n=1, 20001, write("b039923.txt", n-1, " ", x[n])); } \\ _Harry J. Smith_, May 09 2009

%Y Cf. A160331 = Decimal expansion. - _Harry J. Smith_, May 09 2009

%K nonn,cofr

%O 0,1

%A _N. J. A. Sloane_