A240977 -id:A240977 - cp's OEIS frontend

A248524 Beatty sequence for 1/(1-Pi^(-1/3)).

3, 6, 9, 12, 15, 18, 22, 25, 28, 31, 34, 37, 40, 44, 47, 50, 53, 56, 59, 63, 66, 69, 72, 75, 78, 81, 85, 88, 91, 94, 97, 100, 104, 107, 110, 113, 116, 119, 122, 126, 129, 132, 135, 138, 141, 145, 148, 151, 154, 157, 160, 163, 167, 170, 173, 176, 179, 182

Offset: 1

M. F. Hasler, Oct 07 2014

nonn

Beatty complement of A240977.

G. C. Greubel, Table of n, a(n) for n = 1..1000

Cf. A092039 (Pi^(1/3)), A093204 (Pi^(-1/3)), A022844 (Beatty seq. for Pi), A037086 (Beatty seq. for sqrt(Pi)).

Table[Floor[n/(1 - Pi^(-1/3))], {n, 1, 50}] (* G. C. Greubel, Apr 06 2017 *)

PARI
```
a(n)=n\(1-Pi^(-1/3))
```

a(n) = floor(n/(1-Pi^(-1/3))).

A248758 Ceiling(n*Pi^(1/3)).

Original entry on oeis.org

0, 2, 3, 5, 6, 8, 9, 11, 12, 14, 15, 17, 18, 20, 21, 22, 24, 25, 27, 28, 30, 31, 33, 34, 36, 37, 39, 40, 42, 43, 44, 46, 47, 49, 50, 52, 53, 55, 56, 58, 59, 61, 62, 63, 65, 66, 68, 69, 71, 72, 74, 75, 77, 78, 80, 81, 83, 84, 85, 87, 88, 90, 91, 93, 94, 96

Offset: 0

Juliann Barbella, Oct 13 2014

Cube root of the volume of a cylinder with radius and height n rounded up to the nearest integer. - Wesley Ivan Hurt, Oct 13 2014

Cf. A240977 (similar, with floor).

static int a(int n) {return (int) Math.ceil(n*Math.pow(Math.PI, (1.0/3))); }

[Ceiling(n*Pi(RealField(100))^(1/3)) : n in [0..100]]; // Wesley Ivan Hurt, Oct 13 2014

A248758:=n->ceil(n*Pi^(1/3)): seq(A248758(n), n=0..100); # Wesley Ivan Hurt, Oct 13 2014

Table[Ceiling[n*Pi^(1/3)], {n, 0, 100}] (* Wesley Ivan Hurt, Oct 13 2014 *)

a(n) = ceiling(n*Pi^(1/3)).

a(n) = A240977(n)+1 for all n>0. - M. F. Hasler, Oct 14 2014

cp's OEIS Frontend

A248524 Beatty sequence for 1/(1-Pi^(-1/3)).

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