A177102 Beatty sequence for sqrt(10).

3, 6, 9, 12, 15, 18, 22, 25, 28, 31, 34, 37, 41, 44, 47, 50, 53, 56, 60, 63, 66, 69, 72, 75, 79, 82, 85, 88, 91, 94, 98, 101, 104, 107, 110, 113, 117, 120, 123, 126, 129, 132, 135, 139, 142, 145, 148, 151, 154, 158, 161, 164, 167, 170, 173, 177, 180, 183

Offset: 1

Author

Clark Kimberling, Aug 16 2011

Keywords

• nonn
• easy

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A010467, A194113.

Partial sums of A081168.

Programs

Magma

[Floor(n*Sqrt(10)): n in [1..60]]; // Vincenzo Librandi, Oct 24 2011

Mathematica

Table[Floor[n*Sqrt[10]],{n,1,100}]

PARI

for(n=1,50, print1(floor(n*sqrt(10)), ", ")) \\ G. C. Greubel, Sep 24 2017

Formula

a(n) = floor(n*sqrt(10)).