login
This site is supported by donations to The OEIS Foundation.

 

Logo


Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A294795 Decimal expansion of the unique real number in [1, 2] satisfying ((2^x)/(2^x-1))*((3^x+1)/(3^x-1)) = zeta(x). 1
1, 8, 8, 7, 7, 9, 0, 9, 2, 6, 7, 0, 8, 1, 1, 8, 9, 2, 7, 1, 9, 6, 3, 2, 1, 5, 4, 2, 0, 3, 5, 1, 1, 6, 6, 6, 8, 2, 2, 3, 4, 7, 0, 1, 2, 6, 0, 2, 8, 0, 1, 6, 4, 7, 9, 8, 0, 9, 1, 5, 4, 3, 8, 0, 9, 5, 5, 4, 6, 7, 3, 4, 7, 1, 4, 4, 1, 5, 3, 3, 8, 1, 8, 8, 8, 1, 0, 8, 4, 2, 6, 6, 7 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

COMMENTS

This constant is named the Defantstant by Zubrilina (see link).

See the Defant link for more explanations on this constant.

LINKS

Table of n, a(n) for n=1..93.

Colin Defant, On the Density of Ranges of Generalized Divisor Functions, arXiv:1506.05432 [math.NT], 2015.

Nina Zubrilina, On the Number of Connected Components of Ranges of Divisor Functions, arXiv:1711.02871 [math.NT], 2017.

EXAMPLE

1.8877909267081189271963215420351166682234701260280164798091543809554673...

PROG

(PARI) solve(x=1.5, 2, 2^x*(3^x+1)/((2^x-1)*(3^x-1)) - zeta(x))

CROSSREFS

Sequence in context: A202953 A088661 A127196 * A173623 A070481 A011109

Adjacent sequences:  A294792 A294793 A294794 * A294796 A294797 A294798

KEYWORD

nonn,cons

AUTHOR

Michel Marcus, Nov 09 2017

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 October 19 13:01 EDT 2019. Contains 328222 sequences. (Running on oeis4.)