A061293 a(n) = floor( n^e ), e = 2.718281828...

1, 6, 19, 43, 79, 130, 198, 285, 392, 522, 677, 858, 1066, 1304, 1573, 1875, 2211, 2583, 2992, 3440, 3927, 4457, 5029, 5646, 6309, 7019, 7777, 8585, 9445, 10356, 11322, 12343, 13419, 14554, 15747, 17000, 18315, 19692, 21133, 22638, 24210

Offset

1,2

Comments

A000290(n) <= a(n) <= A000578(n). - Reinhard Zumkeller, Mar 17 2015

Links

Reinhard Zumkeller, Table of n, a(n) for n = 1..1000

Example

a(5) = floor(5^e) = floor(79.4323591662132397382254690058565...) = 79.

Maple

for n from 1 to 150 do printf("%d, ", floor(n^exp(1))) od;

Mathematica

a[n_]:=Floor[n^E]; (* Vladimir Joseph Stephan Orlovsky, Dec 12 2008 *)

Prog

(Haskell)
a061293 = floor . (** exp 1) . fromIntegral
-- Reinhard Zumkeller, Mar 17 2015

Crossrefs

Cf. A000149.

Cf. A000290, A000578.

Sequence in context: A299281 A212684 A035495 * A005900 A138357 A299264

Adjacent sequences: A061290 A061291 A061292 * A061294 A061295 A061296

Keyword

nonn,easy

Author

Amarnath Murthy, Apr 26 2001

Extensions

More terms from Winston C. Yang (winston(AT)cs.wisc.edu), May 19 2001

Status

approved