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!)
 A280135 Negative continued fraction of Pi (also called negative continued fraction expansion of Pi). 1
 4, 2, 2, 2, 2, 2, 2, 17, 294, 3, 4, 5, 16, 2, 3, 4, 2, 4, 2, 3, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,1 COMMENTS Appears that these terms are related to continued fraction of Pi through simple transforms; original continued fraction terms X,1 -> negative continued fraction term X+2 (e.g., 15,1->17, and 292,1->294); other transforms are to be determined. REFERENCES Leonard Eugene Dickson, History of the Theory of Numbers, page 379. LINKS EXAMPLE Pi = 4 - (1 / (2 - (1 / (2 - (1 / ...))))). PROG (PARI)  \p10000; p=Pi; for(i=1, 300, print(i, " ", ceil(p)); p=ceil(p)-p; p=1/p ) CROSSREFS Cf. A001203 (continued fraction of Pi). Cf. A133593 (exact continued fraction of Pi). Cf. A280136 (negative continued fraction of e). Sequence in context: A254969 A137239 A136714 * A297825 A303577 A010314 Adjacent sequences:  A280132 A280133 A280134 * A280136 A280137 A280138 KEYWORD nonn AUTHOR Randy L. Ekl, Dec 26 2016 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 March 28 07:45 EDT 2020. Contains 333079 sequences. (Running on oeis4.)