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Nearest integer to 4*Pi*n^2.
1

%I #10 Jan 07 2019 03:19:40

%S 0,13,50,113,201,314,452,616,804,1018,1257,1521,1810,2124,2463,2827,

%T 3217,3632,4072,4536,5027,5542,6082,6648,7238,7854,8495,9161,9852,

%U 10568,11310,12076,12868,13685,14527,15394,16286,17203,18146,19113,20106,21124,22167

%N Nearest integer to 4*Pi*n^2.

%C Surface area of a sphere of radius n, rounded to the nearest integer.

%H Robert Israel, <a href="/A322615/b322615.txt">Table of n, a(n) for n = 0..10000</a>

%p a:=n->4*Pi*n^2: seq(round(a(n)),n=0..45); # _Muniru A Asiru_, Dec 20 2018

%o (PARI) a(n) = round(4*Pi*n^2)

%Y Cf. A002101, A075726, A075727.

%K nonn

%O 0,2

%A _Felix Fröhlich_, Dec 20 2018