A260484 Complement of the Beatty sequence for e^(1/Pi) = A179706.

3, 7, 11, 14, 18, 22, 25, 29, 33, 36, 40, 44, 47, 51, 55, 58, 62, 66, 69, 73, 77, 80, 84, 88, 91, 95, 99, 102, 106, 110, 113, 117, 121, 124, 128, 132, 135, 139, 143, 146, 150, 154, 157, 161, 165, 168, 172, 176, 179, 183, 187, 190, 194, 198

Offset: 1

Author

Karl V. Keller, Jr., Jul 26 2015

Keywords

• nonn

Examples

			For n = 5, floor(5*e^(1/Pi)/(e^(1/Pi)-1)) = 18.
		

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.

Crossrefs

Cf. A179706 (e^(1/Pi)), A260483 (complement).

Programs

Mathematica

Floor[Range[100]/(1 - Exp[-1/Pi])] (* Paolo Xausa, Jul 17 2024 *)

PARI

vector(80, n, floor(n*exp(1/Pi)/(exp(1/Pi)-1))) \\ Michel Marcus, Aug 05 2015

Python

from sympy import E, pi, floor
for n in range(1,101): print(floor(n*E**(1/pi)/(E**(1/pi)-1)), end=', ')

Formula

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