A276855 Beatty sequence for (3 + golden ratio).

0, 4, 9, 13, 18, 23, 27, 32, 36, 41, 46, 50, 55, 60, 64, 69, 73, 78, 83, 87, 92, 96, 101, 106, 110, 115, 120, 124, 129, 133, 138, 143, 147, 152, 157, 161, 166, 170, 175, 180, 184, 189, 193, 198, 203, 207, 212, 217, 221, 226, 230, 235, 240, 244, 249, 253, 258

Offset

0,2

Links

Clark Kimberling, Table of n, a(n) for n = 0..10000

Formula

a(n) = floor(n*(7 + sqrt(5))/2).

Mathematica

z = 500; r = 3+GoldenRatio; b = Table[Floor[k*r], {k, 0, z}]; (* A276855 *)

Crossrefs

Cf. A001950, A276868, A276888.

Sequence in context: A312941 A312942 A312943 * A312944 A312945 A312946

Adjacent sequences: A276852 A276853 A276854 * A276856 A276857 A276858

Keyword

nonn,easy

Author

Clark Kimberling, Sep 24 2016

Status

approved