A003118 Continued fraction for fifth root of 4. (Formerly M2607)

1, 3, 7, 1, 2, 2, 1, 2, 4, 56, 1, 14, 2, 1, 1, 3, 5, 6, 2, 1, 1, 2, 1, 1, 8, 1, 2, 2, 1, 5, 1, 4, 1, 1, 3, 3, 1, 1, 3, 7, 4, 1, 10, 1, 2, 1, 8, 2, 4, 1, 1, 9, 2, 2, 2, 1, 2, 1, 1, 1, 92, 1, 26, 4, 31, 1, 2, 4, 1, 62, 8, 5, 1, 1, 1, 2, 1, 1, 63, 1, 2, 5, 4, 2, 1

Offset

0,2

References

H. P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

Harry J. Smith, Table of n, a(n) for n = 0..19999

Herman P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.

J. Shallit & N. J. A. Sloane, Correspondence 1974-1975

G. Xiao, Contfrac

Index entries for continued fractions for constants

Example

1.319507910772894259374001971... = 1 + 1/(3 + 1/(7 + 1/(1 + 1/(2 + ...)))). - Harry J. Smith, May 11 2009

Prog

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(4^(1/5)); for (n=1, 20000, write("b003118.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 11 2009

Crossrefs

Cf. A005533 (decimal expansion).

Sequence in context: A228147 A200922 A210453 * A096409 A356704 A019631

Adjacent sequences: A003115 A003116 A003117 * A003119 A003120 A003121

Keyword

nonn,cofr

Author

N. J. A. Sloane

Extensions

Offset changed by Andrew Howroyd, Jul 05 2024

Status

approved