A121384 a(n) = ceiling(n*e).

0, 3, 6, 9, 11, 14, 17, 20, 22, 25, 28, 30, 33, 36, 39, 41, 44, 47, 49, 52, 55, 58, 60, 63, 66, 68, 71, 74, 77, 79, 82, 85, 87, 90, 93, 96, 98, 101, 104, 107, 109, 112, 115, 117, 120, 123, 126, 128, 131, 134, 136, 139, 142, 145, 147, 150, 153, 155, 158, 161, 164, 166

Offset: 0

Author

Mohammad K. Azarian, Sep 06 2006

Keywords

• nonn
• easy

Comments

Because the difference between e=A001113 and the constant 1/(1-theta), theta = A102525, defined in A054414 is only 0.00877, the difference |a(n)-A054414(n)| increases approximately as 0.00877*n. - R. J. Mathar, Apr 14 2008

A022843(n) <= A022852(n) <= a(n). - Reinhard Zumkeller, Mar 17 2015

Links

• Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A022843, A022852.

Programs

Haskell

a121384 = ceiling . (* exp 1) . fromIntegral
-- Reinhard Zumkeller, Mar 17 2015

Mathematica

Table[Ceiling[n * E], {n, 0, 80}] (* Vincenzo Librandi, Feb 22 2013 *)