A094882 -id:A094882 - cp's OEIS frontend

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

Paulo Romero Zanconato Pinto, Sep 30 2016

			For n = 1000 we have that floor(1000*(1+sqrt(5))/Pi) = floor(1000*1.0300724296...) = floor(1030.0724296...) so a(1000) = 1030.

Index entries for sequences related to Beatty sequences

Complement of A277113.

Cf. A000796, A001622, A094881, A094882.

A277112:=n->floor(n*(1+sqrt(5))/Pi): seq(A277112(n), n=0..100); # Wesley Ivan Hurt, Oct 31 2016

f[n_] := Floor[n*(1+Sqrt[5])/Pi]; Array[f, 100, 0]

a(n) = floor(n*(1+sqrt(5))/Pi).

A277113 a(n) = floor(n/(1-Pi/(sqrt(5)+1))).

Original entry on oeis.org

34, 68, 102, 137, 171, 205, 239, 274, 308, 342, 376, 411, 445, 479, 513, 548, 582, 616, 650, 685, 719, 753, 787, 822, 856, 890, 924, 959, 993, 1027, 1061, 1096, 1130, 1164, 1198, 1233, 1267, 1301, 1335, 1370, 1404, 1438, 1472, 1507, 1541, 1575, 1609, 1644, 1678

Offset: 1

Paulo Romero Zanconato Pinto, Sep 30 2016

nonn

The goal is to generate a ratio near 1 from two well-known constants.

			For n = 10 we have that floor(10/(1-Pi/(sqrt(5)+1))) = floor(10/0.02919448...) = floor(342.5304983...) so a(10) = 342.

Paulo Romero Zanconato Pinto, Table of n, a(n) for n = 1..10000
Index entries for sequences related to Beatty sequences

Complement of A277112.

Cf. A000796, A001622, A094881, A094882.

A277113:=n->floor(n/(1-Pi/(sqrt(5)+1))): seq(A277113(n), n=1..100);

f[n_] := Floor[n/(1-Pi/(Sqrt[5]+1))]; Array[f, 100, 1]

a(n) = n\(1-Pi/(sqrt(5)+1)) \\ Michel Marcus, Oct 29 2016

a(n) = floor(n/(1-Pi/(sqrt(5)+1))).

More terms from Michel Marcus, Oct 29 2016

cp's OEIS Frontend

A277112 a(n) = floor(n*(1+sqrt(5))/Pi).

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