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

 


a(n) = floor(sqrt( 2*Pi )^n).
4

%I #11 Feb 01 2022 01:21:53

%S 1,2,6,15,39,98,248,621,1558,3906,9792,24546,61528,154230,386597,

%T 969056,2429063,6088760,15262258,38256809,95895600,240374623,

%U 602529828,1510318305,3785806567,9489609784,23786924200,59624976768,149457652641,374634777972

%N a(n) = floor(sqrt( 2*Pi )^n).

%H T. D. Noe, <a href="/A001674/b001674.txt">Table of n, a(n) for n = 0..500</a>

%H <a href="/index/Pow#POWERS">OEIS index entries related to powers of irrational constants</a>.

%t Table[Floor[Sqrt[2*Pi]^n], {n, 0, 50}] (* _T. D. Noe_, Aug 09 2012 *)

%o (PARI) a(n)=(2*Pi)^(n/2)\1 \\ _M. F. Hasler_, May 29 2018

%Y Cf. A001674 (ceiling sqrt(2 Pi)^n), A017910 (floor sqrt(2)^n), A000149 (floor e^n), A001672 (floor Pi^n), A062541 (floor (Pi*e)^n), A121831 (floor (Pi+e)^n), A032739 (floor (Pi/e)^n), A014217 (floor ((1+sqrt(5))/2)^n).

%K nonn

%O 0,2

%A _N. J. A. Sloane_

%E Edited by _M. F. Hasler_, May 29 2018

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

License Agreements, Terms of Use, Privacy Policy. .

Last modified September 21 20:27 EDT 2024. Contains 376089 sequences. (Running on oeis4.)