The OEIS Foundation is supported by donations from users of the OEIS and by a grant from the Simons Foundation.

 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A033089 Incrementally largest terms in the continued fraction for Pi. 5
 3, 7, 15, 292, 436, 20776, 78629, 179136, 528210, 12996958, 878783625, 5408240597, 5916686112, 9448623833, 9787547328, 52662113289 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS There is no larger term in the first 15000000000 terms of the c.f. - Eric W. Weisstein, Jul 27 2013 There is no larger term in the first 30000000000 terms of the c.f. - Syed Fahad, Apr 27 2021 LINKS E. Fontich, C. SimÃ³, and A. Vieiro, On the "hidden" harmonics associated to best approximants due to quasiperiodicity in splitting phenomena, Regular and Chaotic Dynamics (2018), Pleiades Publishing, Vol. 23, Issue 6, 638-653. Eric Weisstein's World of Mathematics, Pi Eric Weisstein's World of Mathematics, Pi Continued Fraction MATHEMATICA c = ContinuedFraction[ Pi, 10^7 ]; a = 0; i = 1; Do[ While[ c[ [ i ] ] <= a, i++ ]; a = c[ [ i ] ]; Print[ a ], {n, 1, 11} ] CROSSREFS Apart from initial term, same as A007541. Cf. A033090 (indices), A000796, A001203. Sequence in context: A077775 A197594 A206851 * A175878 A180503 A153578 Adjacent sequences:  A033086 A033087 A033088 * A033090 A033091 A033092 KEYWORD nonn,hard,changed AUTHOR EXTENSIONS Checked by Hans Havermann, Aug 07 2010 a(12) from Eric W. Weisstein, Dec 08 2010 a(13) from Eric W. Weisstein, Sep 16 2011 a(14) from Eric W. Weisstein, Sep 17 2011 a(15) from Eric W. Weisstein, Jul 18 2013 a(16) from Syed Fahad, Apr 27 2021 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 May 11 13:21 EDT 2021. Contains 343791 sequences. (Running on oeis4.)