A274399 a(n) = floor(n*Pi/3).
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 67, 68, 69, 70
Offset: 0
Examples
For n = 1000 we have that floor(1000*Pi/3) = floor(1000*1.04719755...) = floor(1047.19755...) so a(1000) = 1047.
Links
- Paulo Romero Zanconato Pinto, Table of n, a(n) for n = 0..10000
- Index entries for sequences related to Beatty sequences
Programs
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Maple
A274399:=n->floor(n*Pi/3): seq(A274399(n), n=0..100); # Wesley Ivan Hurt, Sep 26 2016
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Mathematica
f[n_] := Floor[n*Pi/Floor[Pi]]; Array[f, 100, 0]
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Maxima
makelist(floor(n*(%pi/3)), n, 0, 100);
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PARI
a(n) = n*Pi\3; \\ Michel Marcus, Sep 26 2016
Formula
a(n) = floor(n*Pi/floor(Pi)) = floor(n*Pi/3).