A135973 Ceiling(4/3*Pi*n^3).

0, 5, 34, 114, 269, 524, 905, 1437, 2145, 3054, 4189, 5576, 7239, 9203, 11495, 14138, 17158, 20580, 24430, 28731, 33511, 38793, 44603, 50966, 57906, 65450, 73623, 82448, 91953, 102161, 113098, 124789, 137259, 150533, 164637, 179595, 195433

Offset

0,2

Comments

Volume of a sphere of radius n, rounded up.

Links

Vincenzo Librandi, Table of n, a(n) for n = 0..1000

Formula

a(n) = A066645(n) + 1 for n > 0.

Mathematica

Table[Ceiling[4/3*Pi * n^3], {n, 0, 60}] (* Vincenzo Librandi, Feb 19 2013 *)

Prog

(Sage)
n=100 # change n for more values
[ceil(4/3*pi*r^3) for r in [0..n]] # Tom Edgar, Oct 10 2013
(PARI) a(n)=ceil(4/3*Pi*n^3) \\ Charles R Greathouse IV, Oct 10 2013

Crossrefs

Cf. A066643, A066644, A066645, A135039.

Sequence in context: A289947 A272955 A317297 * A186636 A034224 A167023

Adjacent sequences: A135970 A135971 A135972 * A135974 A135975 A135976

Keyword

nonn,easy

Author

Mohammad K. Azarian, Mar 02 2008

Extensions

Definition replaced by Vincenzo Librandi, Feb 19 2013

0 prepended by T. D. Noe, Oct 10 2013

Status

approved