A002101 Nearest integer to 4 * Pi * n^3 / 3.

0, 4, 34, 113, 268, 524, 905, 1437, 2145, 3054, 4189, 5575, 7238, 9203, 11494, 14137, 17157, 20580, 24429, 28731, 33510, 38792, 44602, 50965, 57906, 65450, 73622, 82448, 91952, 102160, 113097, 124788, 137258, 150533, 164636, 179594, 195432, 212175, 229847

Offset: 0

Author

N. J. A. Sloane

Keywords

• nonn
• easy

Comments

Volume of a sphere with radius n (rounded to the nearest integer). - Wesley Ivan Hurt, Jan 28 2014

References

• H. Gupta, A Table of Values of N_3(t), Proc. National Institute of Sciences of India, 13 (1947), 35-63.
• N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
• N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).

Links

• T. D. Noe, Table of n, a(n) for n = 0..1000

Programs

Maple

A002101:=n->round(4 * Pi * n^3/3); seq(A002101(n), n=0..100); # Wesley Ivan Hurt, Jan 28 2014

Mathematica

Table[Round[4 Pi n^3/3], {n, 0, 100}] (* T. D. Noe, May 24 2013 *)

PARI

A002101(n)=round(n^3*4*Pi/3)   \\ M. F. Hasler, Mar 26 2012