|
| |
|
|
A084119
|
|
Decimal expansion of the Fibonacci binary number, sum(k>0, 1/2^F(k)), where F(k)=A000045(k).
|
|
8
|
|
|
|
1, 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
(list;
constant;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
|
OFFSET
|
1,2
|
|
|
COMMENTS
|
The Fibonacci binary number 1.41027879720... is known to be transcendental.
|
|
|
REFERENCES
|
J. H. Loxton and A. van der Poorten, Bull. AMS 16 (1977), 15-47.
J. Shallit and A. van der Poorten, Can. J. Math. 45 (1993), 1067-79.
|
|
|
LINKS
|
Harry J. Smith, Table of n, a(n) for n=1,...,20000
D. Bailey et al., On the binary expansions of algebraic numbers
|
|
|
PROG
|
(PARI) suminf(k=1, 1/2^fibonacci(k))
(PARI) { default(realprecision, 20080); x=suminf(k=1, 1/2^fibonacci(k)); for (n=1, 20000, d=floor(x); x=(x-d)*10; write("b084119.txt", n, " ", d)); } [From Harry J. Smith, May 04 2009]
|
|
|
CROSSREFS
|
Cf. A010056, A079586. See A124091 for another version.
Cf. A006518, A124091. [From Harry J. Smith, May 04 2009]
Sequence in context: A096501 A062862 A206799 * A166073 A216178 A122899
Adjacent sequences: A084116 A084117 A084118 * A084120 A084121 A084122
|
|
|
KEYWORD
|
nonn,cons
|
|
|
AUTHOR
|
Ralf Stephan, May 18 2003
|
|
|
EXTENSIONS
|
Fixed my PARI program, had -n Harry J. Smith, May 19 2009
|
|
|
STATUS
|
approved
|
| |
|
|
