A182692 Composite Beatty sequence of sqrt(3).

2, 3, 7, 12, 28, 48, 113, 195, 461, 798, 1888, 3270, 7736, 13399, 31702, 54909, 129916, 225021, 532405, 922152, 2181835, 3779049, 8941325, 15486829, 36642230, 63466204, 150162650, 260089339, 615377983, 1065865932

Offset: 1

Author

Clark Kimberling, Nov 27 2010

Keywords

• nonn

Comments

The bisection (3,12,48,...) is a subsequence of A022838.

The bisection (2,7,28,...) is a subsequence of A054406.

See the comment at A107857 regarding Beatty sequences.

Crossrefs

Cf. A022838, A054406, A107857, A182631.

Formula

a(n)=floor(s*a(n-1)) if n odd, a(n)=floor(r*a(n-1)) if n even, where r=sqrt(3), s=(r+3)/2, a(1)=floor(s).