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

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

0,2

Comments

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

Links

Table of n, a(n) for n=0..65.

Formula

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

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

Maple

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

Mathematica

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

Prog

(Java) static int a(int n) {return (int) Math.ceil(n*Math.pow(Math.PI, (1.0/3))); }
(Magma) [Ceiling(n*Pi(RealField(100))^(1/3)) : n in [0..100]]; // Wesley Ivan Hurt, Oct 13 2014

Crossrefs

Cf. A240977 (similar, with floor).

Sequence in context: A061054 A061723 A195123 * A267528 A294732 A045506

Adjacent sequences: A248755 A248756 A248757 * A248759 A248760 A248761

Keyword

nonn,easy

Author

Juliann Barbella, Oct 13 2014

Status

approved