

A002950


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


3



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
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OFFSET

1,2


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 = 1..20000
Herman P. Robinson, Letter to N. J. A. Sloane, Nov 13 1973.
J. Shallit & N. J. A. Sloane, Correspondence 19741975
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, " ", 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.  Harry J. Smith, May 12 2009
Sequence in context: A209330 A111825 A085552 * A324046 A244059 A121090
Adjacent sequences: A002947 A002948 A002949 * A002951 A002952 A002953


KEYWORD

nonn,cofr


AUTHOR

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


STATUS

approved



