A179706 -id:A179706 - cp's OEIS frontend

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

Karl V. Keller, Jr., Jul 26 2015

nonn

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

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.

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

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

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

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

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

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

Original entry on oeis.org

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

Karl V. Keller, Jr., Jul 26 2015

nonn

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

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

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

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

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

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

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

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

cp's OEIS Frontend

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

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