The OEIS is supported by the many generous donors to the OEIS Foundation.

 Year-end appeal: Please make a donation to the OEIS Foundation to support ongoing development and maintenance of the OEIS. We are now in our 60th year, we have over 367,000 sequences, and we’ve reached 11,000 citations (which often say “discovered thanks to the OEIS”). Other ways to Give
 Hints (Greetings from The On-Line Encyclopedia of Integer Sequences!)
 A090426 a(1) = 1, otherwise a(n) = floor(Pi^(n+1)/(Pi^2 + 1)). 6
 0, 1, 2, 8, 28, 88, 277, 872, 2742, 8615, 27066, 85032, 267137, 839236, 2636539, 8282934, 26021606, 81749286, 256822957, 806833116, 2534740992, 7963123679, 25016890850, 78592880512, 246906816042, 775680639401, 2436872598274, 7655661052474, 24050968520828 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,3 COMMENTS a(n+1)/a(n) converges to Pi. LINKS Table of n, a(n) for n=0..28. FORMULA Let b(0)=0; b(1)=1; b(n+2)=(Pi-1/Pi)*b(n+1)+b(n). a(n)=floor(b(n)). MATHEMATICA Join[{0, 1}, Table[Floor[Pi^(n + 1)/(Pi^2 + 1)], {n, 2, 28}]] (* Arkadiusz Wesolowski, Apr 20 2012 *) CROSSREFS Cf. A090039, A090427, A093607, A093608. Sequence in context: A087431 A176758 A178222 * A279193 A280279 A060995 Adjacent sequences: A090423 A090424 A090425 * A090427 A090428 A090429 KEYWORD nonn AUTHOR Gary W. Adamson, Nov 30 2003 EXTENSIONS Edited by Don Reble, Nov 14 2005 Name changed by Arkadiusz Wesolowski, Apr 20 2012 STATUS approved

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

Last modified December 4 22:39 EST 2023. Contains 367565 sequences. (Running on oeis4.)