A109238 a(n) = floor(n*(e^2+1)/2).

4, 8, 12, 16, 20, 25, 29, 33, 37, 41, 46, 50, 54, 58, 62, 67, 71, 75, 79, 83, 88, 92, 96, 100, 104, 109, 113, 117, 121, 125, 130, 134, 138, 142, 146, 151, 155, 159, 163, 167, 171, 176, 180, 184, 188, 192, 197, 201, 205, 209, 213, 218, 222, 226

Offset: 1

Author

Reinhard Zumkeller, Jun 23 2005

Keywords

• nonn

Comments

Beatty sequence for (e^2+1)/2 = 4.19452...; complement of A109237.

From Reinhard Zumkeller, Aug 11 2009: (Start)

a(n) = A164086(n) for n <= 66;

a(n) = A109239(A109237(n)) and A109239(a(n)) = A109237(n). (End)

Links

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

Crossrefs

Cf. A109237, A109239, A164086.

Programs

Mathematica

Floor[Range[60] (E^2+1)/2] (* Harvey P. Dale, Apr 10 2018 *)

Extensions

Typo in comment corrected by Reinhard Zumkeller, Aug 10 2009