A010240 Continued fraction for cube root of 10.
2, 6, 2, 9, 1, 1, 2, 4, 1, 12, 1, 1, 1, 1, 57, 4, 2, 16, 1, 1, 1, 1, 9, 6, 2, 3, 1, 1, 12, 1, 4, 6, 2, 2, 1001, 3, 2, 6, 9, 1, 15, 1, 2, 1, 1, 27, 2, 1, 1, 21, 1, 11, 9, 2, 18, 15, 2, 25, 1, 1, 1, 1, 35, 30, 2, 4, 3, 10, 1, 3, 3, 4, 1, 1
Offset: 0
Examples
10^(1/3) = 2.1544346900318837... = 2 + 1/(6 + 1/(2 + 1/(9 + 1/(1 + ...)))). - _Harry J. Smith_, May 08 2009
Links
- Harry J. Smith, Table of n, a(n) for n = 0..20000
- G. Xiao, Contfrac
- Index entries for continued fractions for constants
Crossrefs
Cf. A010582 = Decimal expansion. - Harry J. Smith, May 08 2009
Programs
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PARI
{ allocatemem(932245000); default(realprecision, 21000); x=contfrac(10^(1/3)); for (n=1, 20001, write("b010240.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 08 2009