A002101 Nearest integer to 4 * Pi * n^3 / 3. (Formerly M3653 N1486)

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

0,2

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

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 *)

Prog

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

Crossrefs

Sequence in context: A284812 A053902 A054464 * A241231 A297715 A129557

Adjacent sequences: A002098 A002099 A002100 * A002102 A002103 A002104

Keyword

nonn,easy

Author

N. J. A. Sloane

Status

approved