A260483 Beatty sequence for e^(1/Pi) = A179706.

1, 2, 4, 5, 6, 8, 9, 10, 12, 13, 15, 16, 17, 19, 20, 21, 23, 24, 26, 27, 28, 30, 31, 32, 34, 35, 37, 38, 39, 41, 42, 43, 45, 46, 48, 49, 50, 52, 53, 54, 56, 57, 59, 60, 61, 63, 64, 65, 67, 68, 70, 71, 72, 74, 75, 76, 78, 79, 81, 82, 83, 85

Offset

1,2

Comments

The initial 634 terms are the same as the formula: a(n) = floor((11*n - 1) / 8). - Simon Strandgaard, Sep 24 2021

Links

Karl V. Keller, Jr., Table of n, a(n) for n = 1..1000

Eric Weisstein's World of Mathematics, Beatty Sequence

Eric Weisstein's World of Mathematics, e

Eric Weisstein's World of Mathematics, Pi

Index entries for sequences related to Beatty sequences

Formula

a(n) = floor(n*e^(1/Pi)).

Example

For n = 5, floor(5*e^(1/Pi)) = 6.

Mathematica

Array[Floor[#*E^(1/Pi)] &, 62] (* Michael De Vlieger, Sep 28 2021 *)

Prog

(Python)
from sympy import  E, pi, floor
for n in range(1, 101): print(floor(n*E**(1/pi)), end=', ')
(PARI) vector(80, n, floor(n*exp(1/Pi))) \\ Michel Marcus, Aug 05 2015

Crossrefs

Cf. A179706 (e^(1/Pi)), A260484 (complement).

Sequence in context: A059567 A006594 A172276 * A143028 A277018 A277008

Adjacent sequences: A260480 A260481 A260482 * A260484 A260485 A260486

Keyword

nonn

Author

Karl V. Keller, Jr., Jul 26 2015

Status

approved