A022853 a(n) = integer nearest n*Pi.

0, 3, 6, 9, 13, 16, 19, 22, 25, 28, 31, 35, 38, 41, 44, 47, 50, 53, 57, 60, 63, 66, 69, 72, 75, 79, 82, 85, 88, 91, 94, 97, 101, 104, 107, 110, 113, 116, 119, 123, 126, 129, 132, 135, 138, 141, 145, 148, 151, 154, 157, 160, 163, 167, 170, 173, 176, 179

Offset: 0

Author

Clark Kimberling

Keywords

• nonn

Comments

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

Or around of length of oval of constant width n. - Vladimir Shevelev, Oct 07 2013

Examples

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

References

• 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).

Links

• Carmine Suriano, Table of n, a(n) for n = 0..9999

Crossrefs

Cf. A022844, A121381.

Programs

Magma

R:= RealField(10); [Round(n*Pi(R)): n in [0..60]]; // G. C. Greubel, Sep 29 2018

Mathematica

Table[Round[n Pi], {n, 0, 57}] (* Michael De Vlieger, Jul 27 2015 *)

PARI

vector(100, n, n--; round(n*Pi)) \\ Altug Alkan, Nov 22 2015

Extensions

Edited by N. J. A. Sloane, Jul 03 2008 at the suggestion of R. J. Mathar