A277112 a(n) = floor(n*(1+sqrt(5))/Pi).
0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53, 54, 55, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66, 67, 69, 70
Offset: 0
Examples
For n = 1000 we have that floor(1000*(1+sqrt(5))/Pi) = floor(1000*1.0300724296...) = floor(1030.0724296...) so a(1000) = 1030.
Programs
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Maple
A277112:=n->floor(n*(1+sqrt(5))/Pi): seq(A277112(n), n=0..100); # Wesley Ivan Hurt, Oct 31 2016
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Mathematica
f[n_] := Floor[n*(1+Sqrt[5])/Pi]; Array[f, 100, 0]
Formula
a(n) = floor(n*(1+sqrt(5))/Pi).