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!)
A091900 Decimal expansion of 1/(exp(2*Pi/sqrt(5))*(sqrt(5)/(1+(5^(3/4)*(phi-1)^(5/2)-1)^(1/5))-phi)). 1

%I #10 Aug 13 2015 21:22:26

%S 1,0,0,0,0,0,0,7,9,1,2,6,7,7,2,5,3,1,0,9,9,0,2,2,9,8,0,6,7,3,2,0,7,6,

%T 9,6,6,5,8,7,5,8,5,6,8,8,4,3,8,2,7,4,0,4,6,5,2,7,2,6,5,4,7,6,0,2,8,9,

%U 5,0,3,0,0,2,7,2,6,1,6,2,2,1,9,5,3,8,8,2,2,6,6,9,1,4,7,9,2,4,0,1,2,6

%N Decimal expansion of 1/(exp(2*Pi/sqrt(5))*(sqrt(5)/(1+(5^(3/4)*(phi-1)^(5/2)-1)^(1/5))-phi)).

%C Has a nice (non-simple) continued fraction due to Ramanujan.

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/RamanujanContinuedFractions.html">Ramanujan Continued Fractions</a>

%e 1.000000791267725310990229806732076966587585688438274046527265476028950300272616...

%o (PARI) phi=(1+sqrt(5))/2; exp(-2*Pi/sqrt(5))/(sqrt(5)/(1+(5^(3/4)*(phi-1)^(5/2)-1)^(1/5))-phi) \\ _Charles R Greathouse IV_, Jul 29 2011

%Y 1/A091668.

%K nonn,cons

%O 1,8

%A _Eric W. Weisstein_, Feb 09 2004

%E Offset corrected by _R. J. Mathar_, Feb 05 2009

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 July 8 06:24 EDT 2024. Contains 374148 sequences. (Running on oeis4.)