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Beatty sequence for Pi^2.
2

%I #19 Jul 06 2024 10:20:19

%S 0,9,19,29,39,49,59,69,78,88,98,108,118,128,138,148,157,167,177,187,

%T 197,207,217,227,236,246,256,266,276,286,296,305,315,325,335,345,355,

%U 365,375,384,394,404,414,424,434,444,454,463,473,483,493

%N Beatty sequence for Pi^2.

%H Paolo Xausa, <a href="/A037085/b037085.txt">Table of n, a(n) for n = 0..10000</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/BeattySequence.html">Beatty Sequence</a>.

%H <a href="/index/Be#Beatty">Index entries for sequences related to Beatty sequences</a>

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

%t Floor[Range[0, 100]*Pi^2] (* _Paolo Xausa_, Jul 06 2024 *)

%o (PARI) a(n) = floor(n*Pi^2); \\ _Michel Marcus_, Sep 28 2013

%Y Cf. A002388.

%K nonn

%O 0,2

%A _Felice Russo_

%E More terms from _Michel Marcus_, Sep 28 2013