This site is supported by donations to The OEIS Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A063438 Floor((n+1)*Pi)-Floor(n*Pi). 30
 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4, 3, 3, 3, 3, 3, 3, 4 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS The arithmetic mean 1/(n+1)*sum(a(k)|k=0...n) converges to Pi. What is effectively the same: the Cesaro limit (C1) of a(n) is Pi. - Hieronymus Fischer, Jan 31 2006 A word that is uniformly recurrent, but not morphic.- N. J. A. Sloane, Jul 14 2018 REFERENCES G. H. Hardy. Divergent Series, Oxford 1979. Zeller, K. and Beekmann, W., Theorie der Limitierungsverfahren. Springer Verlag, Berlin, 1970. LINKS Harry J. Smith, Table of n, a(n) for n=1,...,2000 Jean-Paul Allouche, Julien Cassaigne, Jeffrey Shallit, Luca Q. Zamboni, A Taxonomy of Morphic Sequences, arXiv preprint arXiv:1711.10807, Nov 29 2017 FORMULA a(n) = A115790(n) + 3. - Michel Marcus, Jul 15 2013 EXAMPLE a(6)=3 because 7*Pi=21.99, 6*Pi=18.85 and so a(6)=21-18; a(7)=4 because 8*Pi=25.13 and so a(7)=25-21; PROG (PARI) j=[]; for(n=1, 150, j=concat(j, floor( (n+1) * Pi) - floor(n * Pi))); j (PARI) { default(realprecision, 50); for (n=1, 2000, write("b063438.txt", n, " ", floor((n + 1)*Pi) - floor(n*Pi)) ) } \\ Harry J. Smith, Aug 21 2009 (PARI) a(n) = floor((n+1)*Pi) - floor(n*Pi) \\ Michel Marcus, Jul 15 2013 CROSSREFS Cf. A115788, A115789, A115790, A006337. First differences of A022844. Sequences mentioned in the Allouche et al. "Taxonomy" paper, listed by example number: 1: A003849, 2: A010060, 3: A010056, 4: A020985 and A020987, 5: A191818, 6: A316340 and A273129, 18: A316341, 19: A030302, 20: A063438, 21: A316342, 22: A316343, 23: A003849 minus its first term, 24: A316344, 25: A316345 and A316824, 26: A020985 and A020987, 27: A316825, 28: A159689, 29: A049320, 30: A003849, 31: A316826, 32: A316827, 33: A316828, 34: A316344, 35: A043529, 36: A316829, 37: A010060. Sequence in context: A083565 A237117 A247970 * A276870 A081168 A301415 Adjacent sequences:  A063435 A063436 A063437 * A063439 A063440 A063441 KEYWORD easy,nonn AUTHOR Jason Earls, Jul 24 2001 EXTENSIONS Offset in b-file and second PARI program corrected by N. J. A. Sloane, Aug 31 2009 Entry revised by N. J. A. Sloane, Jan 07 2014 STATUS approved

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

Last modified June 24 14:15 EDT 2019. Contains 324325 sequences. (Running on oeis4.)