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

 

Logo

Invitation: celebrating 50 years of OEIS, 250000 sequences, and Sloane's 75th, there will be a conference at DIMACS, Rutgers, Oct 9-10 2014.

Hints
(Greetings from The On-Line Encyclopedia of Integer Sequences!)
A124091 Decimal expansion of Fibonacci binary constant: Sum{i=0..inf} (1/2)^Fibonacci(i). 5
2, 4, 1, 0, 2, 7, 8, 7, 9, 7, 2, 0, 7, 8, 6, 5, 8, 9, 1, 7, 9, 4, 0, 4, 3, 0, 2, 4, 4, 7, 1, 0, 6, 3, 1, 4, 4, 4, 8, 3, 4, 2, 3, 9, 2, 4, 5, 9, 5, 2, 7, 8, 7, 7, 2, 5, 9, 3, 2, 9, 2, 4, 6, 7, 9, 3, 0, 0, 7, 3, 5, 1, 6, 8, 2, 6, 0, 2, 7, 9, 4, 5, 3, 5, 1, 6, 1, 2, 3, 3, 0, 1, 2, 1, 4, 5, 9, 0, 2, 3, 3, 2, 8, 5, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

LINKS

Harry J. Smith, Table of n, a(n) for n=1..20000

D. H. Bailey, J. M. Borwein, R. E. Crandall and C. Pomerance, On the binary expansions of algebraic numbers, LBNL-53854.

FORMULA

Sum_{i=0..infinity) 1/2^A000045(i).

EXAMPLE

2.4102787972078658917940430244710631444834239245952787725932...

MATHEMATICA

RealDigits[ N[ Sum[(1/2)^Fibonacci[i], {i, 0, Infinity}], 111]][[1]] (* Robert G. Wilson v, Nov 26 2006 *)

PROG

(PARI) { a=0 ; for(n=0, 30, a += .5^fibonacci(n) ; print(a) ; ) ; }

(PARI) { default(realprecision, 20080); x=suminf(k=0, 1/2^fibonacci(k)); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b124091.txt", n, " ", d)); } [From Harry J. Smith, May 04 2009]

CROSSREFS

Equals A084119 + 1. Cf. A007404 (Kempner-Mahler number); continued fraction, A125600.

Cf. A006518, A084119, A000301.

Sequence in context: A115407 A010586 A070678 * A067849 A164268 A152433

Adjacent sequences:  A124088 A124089 A124090 * A124092 A124093 A124094

KEYWORD

cons,nonn

AUTHOR

R. J. Mathar, Nov 25 2006

EXTENSIONS

More terms from Robert G. Wilson v, Nov 26 2006

Fixed my PARI program, had -n Harry J. Smith, May 19 2009

STATUS

approved

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

Content is available under The OEIS End-User License Agreement .

Last modified August 27 05:16 EDT 2014. Contains 246117 sequences.