cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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

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%I A002101 M3653 N1486 #23 Dec 23 2021 22:44:56
%S A002101 0,4,34,113,268,524,905,1437,2145,3054,4189,5575,7238,9203,11494,
%T A002101 14137,17157,20580,24429,28731,33510,38792,44602,50965,57906,65450,
%U A002101 73622,82448,91952,102160,113097,124788,137258,150533,164636,179594,195432,212175,229847
%N A002101 Nearest integer to 4 * Pi * n^3 / 3.
%C A002101 Volume of a sphere with radius n (rounded to the nearest integer). - _Wesley Ivan Hurt_, Jan 28 2014
%D A002101 H. Gupta, A Table of Values of N_3(t), Proc. National Institute of Sciences of India, 13 (1947), 35-63.
%D A002101 N. J. A. Sloane, A Handbook of Integer Sequences, Academic Press, 1973 (includes this sequence).
%D A002101 N. J. A. Sloane and Simon Plouffe, The Encyclopedia of Integer Sequences, Academic Press, 1995 (includes this sequence).
%H A002101 T. D. Noe, <a href="/A002101/b002101.txt">Table of n, a(n) for n = 0..1000</a>
%p A002101 A002101:=n->round(4 * Pi * n^3/3); seq(A002101(n), n=0..100); # _Wesley Ivan Hurt_, Jan 28 2014
%t A002101 Table[Round[4 Pi n^3/3], {n, 0, 100}] (* _T. D. Noe_, May 24 2013 *)
%o A002101 (PARI) A002101(n)=round(n^3*4*Pi/3)   \\ _M. F. Hasler_, Mar 26 2012
%K A002101 nonn,easy
%O A002101 0,2
%A A002101 _N. J. A. Sloane_