A109232 a(n) = floor(n*(e^2+1)/(e-1)^2).

2, 5, 8, 11, 14, 17, 19, 22, 25, 28, 31, 34, 36, 39, 42, 45, 48, 51, 53, 56, 59, 62, 65, 68, 71, 73, 76, 79, 82, 85, 88, 90, 93, 96, 99, 102, 105, 107, 110, 113, 116, 119, 122, 125, 127, 130, 133, 136, 139, 142, 144, 147, 150, 153, 156, 159, 161

Offset: 1

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

• nonn

Comments

Beatty sequence for (e^2+1)/(e-1)^2 = 2.84134...; complement of A109231.

The constant is 2.841347188415584637890827045432999205763311253301102304707920819444...

Similar to but different from A140099. - N. J. A. Sloane, Sep 01 2016

Links

• Eric Weisstein's World of Mathematics, Beatty Sequence
• Index entries for sequences related to Beatty sequences

Crossrefs

Cf. A109231, A109233, A140099.

Programs

Mathematica

Table[Floor[(n(E^2+1))/(E-1)^2],{n,60}] (* Harvey P. Dale, Dec 21 2022 *)