login
The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A010767 Decimal expansion of 4th root of 2. 16
1, 1, 8, 9, 2, 0, 7, 1, 1, 5, 0, 0, 2, 7, 2, 1, 0, 6, 6, 7, 1, 7, 4, 9, 9, 9, 7, 0, 5, 6, 0, 4, 7, 5, 9, 1, 5, 2, 9, 2, 9, 7, 2, 0, 9, 2, 4, 6, 3, 8, 1, 7, 4, 1, 3, 0, 1, 9, 0, 0, 2, 2, 2, 4, 7, 1, 9, 4, 6, 6, 6, 6, 8, 2, 2, 6, 9, 1, 7, 1, 5, 9, 8, 7, 0, 7, 8, 1, 3, 4, 4, 5, 3, 8, 1, 3, 7, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,3

COMMENTS

The main result on pages 4-5 of Sidorov involves this constant, and a relationship with the second Pisot number. - Jonathan Vos Post, Sep 01 2010

An algebraic integer of degree 4. - Charles R Greathouse IV, Nov 12 2014

LINKS

Vincenzo Librandi, Table of n, a(n) for n = 1..1000

Simon Plouffe, 2^(1/4) or sqrt(sqrt(2)) to 20000 digits

Simon Plouffe, 2^(1/4) to 1024 places

Nikita Sidorov, Boris Solomyak, On the topology of sums in powers of an algebraic number, Sep 01, 2010.

Terr, David and Weisstein, Eric W. Pisot Number

FORMULA

Equals Product_{k>=0} (1 + (-1)^k/(4*k + 3)). - Amiram Eldar, Jul 25 2020

EXAMPLE

1.18920711...

MATHEMATICA

RealDigits[N[2^(1/4), 200]][[1]] (* Vladimir Joseph Stephan Orlovsky, Jan 24 2012 *)

PROG

(PARI) sqrtn(2, 4) \\ Charles R Greathouse IV, Apr 14 2014

(PARI) weber(I) \\ Charles R Greathouse IV, Feb 04 2015

CROSSREFS

Sequence in context: A113521 A297537 A030167 * A334751 A289252 A064734

Adjacent sequences:  A010764 A010765 A010766 * A010768 A010769 A010770

KEYWORD

nonn,cons

AUTHOR

N. J. A. Sloane.

STATUS

approved

Lookup | Welcome | Wiki | Register | Music | Plot 2 | Demos | Index | Browse | More | WebCam
Contribute new seq. or comment | Format | Style Sheet | Transforms | Superseeker | Recent
The OEIS Community | Maintained by The OEIS Foundation Inc.

License Agreements, Terms of Use, Privacy Policy. .

Last modified February 26 14:18 EST 2021. Contains 341632 sequences. (Running on oeis4.)