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.

A046112 a(n) is smallest integral radius of circle centered at (0,0) having 8n-4 lattice points on its circumference; a(n)/2 is smallest half-integral radius circle centered at (1/2,0) having 4n-2 lattice points; a(n)/3 is smallest third-integral radius circle centered at (1/3,0) having 2n-1 lattice points.

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%I A046112 #12 Feb 16 2025 08:32:38
%S A046112 1,5,25,125,65,3125,15625,325,390625,1953125,1625,48828125,4225,1105,
%T A046112 6103515625,30517578125,40625,21125,3814697265625,203125,
%U A046112 95367431640625,476837158203125,5525,11920928955078125,274625
%N A046112 a(n) is smallest integral radius of circle centered at (0,0) having 8n-4 lattice points on its circumference; a(n)/2 is smallest half-integral radius circle centered at (1/2,0) having 4n-2 lattice points; a(n)/3 is smallest third-integral radius circle centered at (1/3,0) having 2n-1 lattice points.
%H A046112 Ray Chandler, <a href="/A046112/b046112.txt">Table of n, a(n) for n = 1..1439</a> (a(1440) exceeds 1000 digits).
%H A046112 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/CircleLatticePoints.html">Circle Lattice Points</a>
%H A046112 Eric Weisstein's World of Mathematics, <a href="https://mathworld.wolfram.com/PythagoreanTriple.html">Pythagorean Triple</a>
%Y A046112 Except for offset, same as A006339.
%Y A046112 Cf. A046109, A046110, A046111, A000328.
%K A046112 nonn
%O A046112 1,2
%A A046112 _Eric W. Weisstein_