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a(n) = floor(n*Pi/3).
2

%I #36 Nov 05 2016 08:46:25

%S 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,

%T 27,28,29,30,31,32,33,34,35,36,37,38,39,40,41,42,43,45,46,47,48,49,50,

%U 51,52,53,54,55,56,57,58,59,60,61,62,63,64,65,67,68,69,70

%N a(n) = floor(n*Pi/3).

%H Paulo Romero Zanconato Pinto, <a href="/A274399/b274399.txt">Table of n, a(n) for n = 0..10000</a>

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

%F a(n) = floor(n*Pi/floor(Pi)) = floor(n*Pi/3).

%e For n = 1000 we have that floor(1000*Pi/3) = floor(1000*1.04719755...) = floor(1047.19755...) so a(1000) = 1047.

%p A274399:=n->floor(n*Pi/3): seq(A274399(n), n=0..100); # _Wesley Ivan Hurt_, Sep 26 2016

%t f[n_] := Floor[n*Pi/Floor[Pi]]; Array[f, 100, 0]

%o (Maxima) makelist(floor(n*(%pi/3)), n, 0, 100);

%o (PARI) a(n) = n*Pi\3; \\ _Michel Marcus_, Sep 26 2016

%Y Complement of A277051.

%Y Cf. A000796, A019670.

%K nonn,easy

%O 0,3

%A _Paulo Romero Zanconato Pinto_, Sep 26 2016