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A022843 Beatty sequence for e: a(n) = floor(n*e). 29
0, 2, 5, 8, 10, 13, 16, 19, 21, 24, 27, 29, 32, 35, 38, 40, 43, 46, 48, 51, 54, 57, 59, 62, 65, 67, 70, 73, 76, 78, 81, 84, 86, 89, 92, 95, 97, 100, 103, 106, 108, 111, 114, 116, 119, 122, 125, 127, 130, 133, 135, 138, 141, 144, 146, 149, 152, 154, 157, 160 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

COMMENTS

a(n) <= A022852(n) <= A121384(n). - Reinhard Zumkeller, Mar 17 2015

LINKS

Reinhard Zumkeller, Table of n, a(n) for n = 0..10000

Eric Weisstein's World of Mathematics, Beatty Sequence.

Index entries for sequences related to Beatty sequences

FORMULA

a(n)/n converges to e because |a(n)/n-e|=|a(n)-n*e|/n < 1/n. - Hieronymus Fischer, Jan 22 2006

MAPLE

A022843 := proc(n)

    floor(n*exp(1)) ;

end proc: # R. J. Mathar, Jan 25 2015

MATHEMATICA

Table[ Floor[n*E], {n, 1, 61}]

PROG

(Haskell)

a022843 n = a022843_list !! n

a022843_list = map (floor . (* e) . fromIntegral) [0..] where e = exp 1

-- Reinhard Zumkeller, Jul 06 2013

(PARI) for (n=0, 100, print1(floor(n*exp(1)), ", ")) \\ Indranil Ghosh, Mar 21 2017

(Python)

import math

from mpmath import mp, e

mp.dps = 100

print([int(math.floor(n*e)) for n in range(51)]) # Indranil Ghosh, Mar 21 2017

(MAGMA) [Floor(n*Exp(1)): n in [0..60]]; // G. C. Greubel, Sep 28 2018

CROSSREFS

Cf. A054385, A108599.

Cf. A001113 (e), A022852, A121384.

Sequence in context: A117630 A284774 A309095 * A054088 A186540 A059556

Adjacent sequences:  A022840 A022841 A022842 * A022844 A022845 A022846

KEYWORD

nonn

AUTHOR

Clark Kimberling

STATUS

approved

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Last modified November 26 01:22 EST 2020. Contains 338631 sequences. (Running on oeis4.)