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A039923 Continued fraction for 2^(1/3) + sqrt(3). 2
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 (list; graph; refs; listen; history; text; internal format)
OFFSET
0,1
COMMENTS
2^(1/3) + sqrt(3) = 2^(1/3) + 3^(1/2). - Harry J. Smith, May 09 2009
LINKS
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
EXAMPLE
2.9919718574637504582946569... = 2 + 1/(1 + 1/(123 + 1/(1 + 1/(1 + ...)))). - Harry J. Smith, May 09 2009
PROG
(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
CROSSREFS
Cf. A160331 = Decimal expansion. - Harry J. Smith, May 09 2009
Sequence in context: A191298 A104025 A335600 * A081708 A358858 A012004
KEYWORD
nonn,cofr
AUTHOR
STATUS
approved

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Last modified March 29 06:13 EDT 2024. Contains 371265 sequences. (Running on oeis4.)