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A253301

Complement of the Beatty sequence for sqrt(Pi*phi), where phi is the golden ratio.

1, 3, 5, 7, 8, 10, 12, 14, 16, 17, 19, 21, 23, 25, 26, 28, 30, 32, 34, 35, 37, 39, 41, 43, 44, 46, 48, 50, 52, 53, 55, 57, 59, 61, 62, 64, 66, 68, 70, 71, 73, 75, 77, 79, 80, 82, 84, 86, 88, 89, 91, 93, 95, 97, 98, 100, 102, 104, 106, 107, 109, 111, 113, 115

(list; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Colin Barker, Table of n, a(n) for n = 1..10000

Eric Weisstein's World of Mathematics, Beatty Sequence

FORMULA

a(n) = floor(n*sqrt(Pi*phi)/(sqrt(Pi*phi)-1)), where phi is the golden ratio.

MATHEMATICA

Table[Floor[n*Sqrt[Pi*GoldenRatio]/(Sqrt[Pi*GoldenRatio] - 1)], {n, 1, 100}] (* G. C. Greubel, Jan 09 2017 *)

PROG

(PARI) phi = (sqrt(5)+1)/2; vector(100, n, floor(n*sqrt(Pi*phi) / (sqrt(Pi*phi)-1)))