A002950 - OEIS

A002950

Continued fraction for fifth root of 2.
(Formerly M4044)

1, 6, 1, 2, 1, 1, 1, 3, 25, 1, 4, 3, 3, 7, 52, 1, 2, 3, 2, 15, 2, 2, 4, 16, 2, 7, 1, 1, 1, 10, 21, 1, 1, 1, 141, 2, 4, 1, 4, 2, 1, 1, 17, 1, 3, 3, 4, 1, 3, 1, 3, 2, 1, 1, 2, 33, 1, 6, 6, 1, 2, 4, 1, 21, 1, 3, 3, 8, 10, 1, 46, 6, 1, 10, 1, 1, 1, 1, 2, 11, 1, 3, 1

(list; graph; refs; listen; history; text; internal format)

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

2^(1/5) = 1.148698354997035006798626946... = 1 + 1/(6 + 1/(1 + 1/(2 + 1/(1 + ...)))). - Harry J. Smith, May 12 2009

MAPLE

with(numtheory):

cfrac(2^(1/5), 100, 'quotients'); # Muniru A Asiru, Nov 02 2018

MATHEMATICA

ContinuedFraction[2^(1/5), 100] (* G. C. Greubel, Nov 02 2018 *)

PROG

(PARI) { allocatemem(932245000); default(realprecision, 21000); x=contfrac(2^(1/5)); for (n=1, 20000, write("b002950.txt", n-1, " ", x[n])); } \\ Harry J. Smith, May 12 2009

(Magma) SetDefaultRealField(RealField(100)); ContinuedFraction(2^(1/5)); // G. C. Greubel, Nov 02 2018

CROSSREFS

Cf. A005531 (decimal expansion).

Cf. A002361, A002362 (convergents).

Sequence in context: A357297 A111825 A085552 * A324046 A244059 A121090

Adjacent sequences: A002947 A002948 A002949 * A002951 A002952 A002953

KEYWORD

nonn,cofr

AUTHOR

N. J. A. Sloane, Herman P. Robinson

EXTENSIONS

Offset changed by Andrew Howroyd, Jul 05 2024

STATUS

approved