A104135 - OEIS

%I #9 Sep 08 2022 08:45:17

%S 2,3,4,5,5,6,6,7,7,7,8,8,9,9,9,10,10,10,10,11,11,11,12,12,12,12,13,13,

%T 13,13,13,14,14,14,14,15,15,15,15,15,16,16,16,16,16,17,17,17,17,17,17,

%U 18,18,18,18,18,18,19,19,19,19,19,19,20,20,20,20,20,20,20,21,21,21,21

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

%H G. C. Greubel, <a href="/A104135/b104135.txt">Table of n, a(n) for n = 1..10000</a>

%t Table[Floor[Sqrt[2*Pi*n]],{n,80}] (* _Harvey P. Dale_, Oct 08 2012 *)

%o (PARI) vector(80, n, floor(sqrt(2*Pi*n))) \\ _G. C. Greubel_, Oct 01 2018

%o (Magma) R:= RealField(10); [Floor(Sqrt(2*Pi(R)*n)): n in [1..80]]; // _G. C. Greubel_, Oct 01 2018

%Y Cf. A104135 (with ceiling).

%K nonn

%O 1,1

%A Jun Mizuki (suzuki32(AT)sanken.osaka-u.ac.jp), Mar 07 2005