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 A004601 Expansion of Pi in base 2 (or, binary expansion of Pi). 62
 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; text; internal format)
 OFFSET 2,1 COMMENTS The 10^k-th binary digit of Pi beginning with k=0: 0,0,0,1,1,0,1,1,0, ..., . - Robert G. Wilson v, 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). - Alvin H. Belt, 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 Vincenzo Librandi, Table of n, a(n) for n = 2..1000 Francisco Javier Aragón Artacho, 2 billion step walk on the digits of pi Elias's Pi Page, Binary representation of pi with 32768 digits J. Leroy, M. Rigo, and M. Stipulanti, Behavior of Digital Sequences Through Exotic Numeration Systems, Electronic Journal of Combinatorics 24(1) (2017), #P1.44. See w(n) in Example 19. Steve Pagliarulo, Stu's pi page: base 2 (23 pages) [link was dead, retrieved from the Internet archive] FORMULA a(n) = -2*floor(Pi*2^(-4 + n)) + floor(Pi*2^(-3 + n)) for n > 1. - Mariusz Iwaniuk, Apr 28 2017 EXAMPLE 11.0010010000111111011010101000100010000... MATHEMATICA RealDigits[Pi, 2, 75][[1]] PROG (PARI) binary(Pi) \\ Altug Alkan, Apr 08 2018 CROSSREFS Cf. A000796, A119017, A068425, A117721, A065987, A051480, A007514. 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), A060707 (b=60). Sequence in context: A133100 A216230 A077606 * A114915 A074711 A004585 Adjacent sequences:  A004598 A004599 A004600 * A004602 A004603 A004604 KEYWORD nonn,base,cons,easy AUTHOR STATUS approved

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Last modified November 19 08:40 EST 2018. Contains 317347 sequences. (Running on oeis4.)