A039923 Continued fraction for 2^(1/3) + sqrt(3).

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

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• cofr

Comments

2^(1/3) + sqrt(3) = 2^(1/3) + 3^(1/2). - Harry J. Smith, May 09 2009

Examples

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

Links

• Harry J. Smith, Table of n, a(n) for n = 0..20000
• S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134.
• S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134. [Annotated scanned copy]
• G. Xiao, Contfrac
• Index entries for continued fractions for constants

Crossrefs

Cf. A160331 = Decimal expansion. - Harry J. Smith, May 09 2009

Programs

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