A022852 Integer nearest n * e, where e is the natural log base.

0, 3, 5, 8, 11, 14, 16, 19, 22, 24, 27, 30, 33, 35, 38, 41, 43, 46, 49, 52, 54, 57, 60, 63, 65, 68, 71, 73, 76, 79, 82, 84, 87, 90, 92, 95, 98, 101, 103, 106, 109, 111, 114, 117, 120, 122, 125, 128, 130, 133, 136, 139, 141, 144, 147, 150, 152, 155, 158, 160

Offset: 0

Author

Clark Kimberling

Keywords

• nonn

Comments

A022843(n) <= a(n) <= A121384(n). - Reinhard Zumkeller, Mar 17 2015

Examples

			2 * e = 5.436563656918..., so a(2) = 5.
3 * e = 8.1548454853771357..., so a(3) = 8.
4 * e = 10.87312731383618..., so a(4) = 11.
		

Links

• Reinhard Zumkeller, Table of n, a(n) for n = 0..1000

Crossrefs

Cf. A001113, A022843, A121384.

Programs

Haskell

a022852 = round . (* exp 1) . fromIntegral
-- Reinhard Zumkeller, Mar 17 2015

Magma

[Round(n*Exp(1)): n in [0..60]]; // G. C. Greubel, Sep 29 2018

Mathematica

Round[E * Range[0, 60]] (* Harvey P. Dale, Jan 08 2014 *)

PARI

a(n)=n*exp(1)\1 \\ Charles R Greathouse IV, Jan 08 2014

Scala

(0L to 59L).map(n => Math.round(n * Math.E)) // Alonso del Arte, Dec 14 2018

Extensions

Zero prepended by Harvey P. Dale, Jan 08 2014