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A004601
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Expansion of Pi in base 2.
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40
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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; constant; graph; refs; listen; history; internal format)
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OFFSET
| 2,1
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COMMENTS
| 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]
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REFERENCES
| J. P. Delahaye, Le Fascinant Nombre Pi, "100000 digits of pi in base two", pp. 209-210; Pour la Science, Paris 1997.
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LINKS
| Francisco Javier Aragón Artacho, 2 billion step walk on the digits of pi
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
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MATHEMATICA
| RealDigits[Pi, 2, 75][[1]]
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CROSSREFS
| Cf. A000796., A119017, A068425, A117721, A065987.
Pi in base b: this sequence (b=2), A004602 (b=3), A004603 (b=4), A004604 (b=5), A004605 (b=6), A004606 (b=7), A006941 (b=8), A004608 (b=9), A000796 (b=10), A068436 (b=11), A068437 (b=12), A068438 (b=13), A068439 (b=14), A068440 (b=15), A062964 (b=16).
Cf. A007514.
Sequence in context: A113429 A133100 A077606 * A114915 A074711 A004585
Adjacent sequences: A004598 A004599 A004600 * A004602 A004603 A004604
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KEYWORD
| nonn,base,cons
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AUTHOR
| N. J. A. Sloane (njas(AT)research.att.com).
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