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%I #16 Feb 01 2022 01:22:08
%S 1,3,6,16,39,99,248,622,1559,3907,9793,24546,61529,154230,386598,
%T 969056,2429064,6088760,15262259,38256810,95895601,240374624,
%U 602529829,1510318305,3785806568,9489609784,23786924201,59624976768,149457652642,374634777972
%N a(n) = round(sqrt( 2*Pi )^n).
%H T. D. Noe, <a href="/A001675/b001675.txt">Table of n, a(n) for n = 0..500</a>
%H <a href="/index/Pow#POWERS">Index to sequences related to powers of irrational constants</a>.
%t Table[Floor[Sqrt[2*Pi]^n + 1/2], {n, 0, 50}] (* _T. D. Noe_, Aug 09 2012 *)
%t Round[(Sqrt[2*Pi])^Range[0,30] ] (* _Harvey P. Dale_, Jun 05 2018 *)
%o (PARI) apply( a(n)=(2*Pi)^(n/2)\/1, [0..40]) \\ _M. F. Hasler_, May 29 2018
%Y Cf. A001674 (floor sqrt(2 Pi)^n), A001698 (ceiling sqrt(2 Pi)^n).
%Y Cf. A017911 (round sqrt(2)), A000227 (round e^n), A002160 (round Pi^n).
%K nonn
%O 0,2
%A _N. J. A. Sloane_
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