login
The OEIS is supported by the many generous donors to the OEIS Foundation.

 

Logo
Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A078890 Decimal expansion of Sum {n>=0} 1/9^(2^n). 8
1, 2, 3, 6, 0, 9, 2, 2, 9, 1, 4, 4, 3, 0, 6, 3, 2, 7, 7, 8, 2, 1, 5, 8, 4, 9, 2, 8, 3, 3, 5, 6, 9, 7, 0, 4, 6, 5, 6, 6, 0, 9, 2, 6, 6, 3, 8, 0, 4, 9, 7, 8, 5, 8, 7, 5, 7, 7, 2, 3, 5, 4, 0, 9, 7, 6, 6, 4, 9, 0, 8, 4, 9, 6, 6, 3, 5, 6, 6, 9, 6, 1, 8, 5, 4, 9, 1, 8, 1, 9, 3, 3, 4, 7, 3, 5, 4, 4, 2, 0, 0, 1, 1, 9, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET
0,2
LINKS
Aubrey J. Kempner, On Transcendental Numbers, Transactions of the American Mathematical Society, volume 17, number 4, October 1916, pages 476-482.
FORMULA
Equals A078885 - 1/3 = A078885 - A010701. - R. J. Mathar, Apr 23 2009
Equals -Sum_{k>=1} mu(2*k)/(9^k - 1), where mu is the Möbius function (A008683). - Amiram Eldar, Jul 12 2020
EXAMPLE
0.123609229144306327782...
MATHEMATICA
RealDigits[ N[ Sum[1/9^(2^n), {n, 0, Infinity}], 110]][[1]]
PROG
(PARI) suminf(n=0, 1/9^(2^n)) \\ Michel Marcus, Nov 11 2020
CROSSREFS
Sequence in context: A075174 A075176 A134972 * A021813 A082052 A232930
KEYWORD
cons,nonn
AUTHOR
Robert G. Wilson v, Dec 11 2002
STATUS
approved

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified March 19 07:38 EDT 2024. Contains 370958 sequences. (Running on oeis4.)