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a(n) = integer nearest n*Pi.
5

%I #35 Mar 02 2023 11:14:56

%S 0,3,6,9,13,16,19,22,25,28,31,35,38,41,44,47,50,53,57,60,63,66,69,72,

%T 75,79,82,85,88,91,94,97,101,104,107,110,113,116,119,123,126,129,132,

%U 135,138,141,145,148,151,154,157,160,163,167,170,173,176,179

%N a(n) = integer nearest n*Pi.

%C Since n*Pi is an irrational number, all tie-breaking rounding methods yield the same integer sequence. - Artur Twarecki (numbers(AT)twarecki.ca), Dec 19 2006

%C Or around of length of oval of constant width n. - _Vladimir Shevelev_, Oct 07 2013

%D V. Shevelev, On ovals of a given function of width, Intern. Geom. School-Seminar Memory N. V. Efimov, Abrau-Durso, 1996, 73-75 (Abstracts in Russian).

%H Carmine Suriano, <a href="/A022853/b022853.txt">Table of n, a(n) for n = 0..9999</a>

%e a(100)=314 because round(100*Pi)=314.

%t Table[Round[n Pi], {n, 0, 57}] (* _Michael De Vlieger_, Jul 27 2015 *)

%o (PARI) vector(100, n, n--; round(n*Pi)) \\ _Altug Alkan_, Nov 22 2015

%o (Magma) R:= RealField(10); [Round(n*Pi(R)): n in [0..60]]; // _G. C. Greubel_, Sep 29 2018

%Y Cf. A022844, A121381.

%K nonn

%O 0,2

%A _Clark Kimberling_

%E Edited by _N. J. A. Sloane_, Jul 03 2008 at the suggestion of _R. J. Mathar_