|
Search: id:A004601
|
|
|
| A004601 |
|
Expansion of Pi in base 2. |
|
+0 34
|
|
| 1, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1
(list; cons; graph; listen)
|
|
|
OFFSET
|
2,1
|
|
|
COMMENT
|
The 10^k_th binary digit of Pi beginning with k=0: 0,0,0,1,1,0,1,1,0, ..., . [From Robert G. Wilson v (rgwv(AT)rgwv.com), May 04 2009]
It appears to me that, if this is read as a decimal number, it is an example of an irrational number that is not normal (no '2' for example, and if it repeated or terminated, pi would too). [From Alvin H. Belt (abelt3(AT)juno.com), Jun 19 2009]
|
|
REFERENCES
|
J. P. Delahaye, Le Fascinant Nombre Pi, "100000 digits of pi in base two", pp. 209-210; Pour la Science, Paris 1997.
|
|
LINKS
|
A. Brouty, Les decimales de PI en base 2 jusqu'a 1 million
Elias's Pi Page, Binary representation of pi with 32768 digits
Steve Pagliarulo, Stu's pi page
|
|
MATHEMATICA
|
RealDigits[Pi, 2, 75][[1]]
|
|
CROSSREFS
|
Cf. A000796., A119017, A068425, A117721, A065987.
Pi in various bases: A004601 to A004608, A000796, A068436 to A068440, A062964. Cf. A007514.
Sequence in context: A113429 A133100 A077606 this_sequence A114915 A074711 A004585
Adjacent sequences: A004598 A004599 A004600 this_sequence A004602 A004603 A004604
|
|
KEYWORD
|
nonn,base,cons
|
|
AUTHOR
|
N. J. A. Sloane (njas(AT)research.att.com).
|
|
|
Search completed in 0.002 seconds
|