A071384 Radii of the circles around (0,0) that contain record numbers of lattice points, rounded up to the next integer.

0, 1, 3, 5, 9, 19, 34, 65, 75, 167, 269, 372, 401, 896, 1444, 2002, 2435, 5445, 8779, 12175, 15591, 34862, 56213, 77953, 113501, 231769, 253794, 409231, 567501, 886464, 1687299, 1982193, 3196190, 4432317, 7146896, 13178226, 15980946

Offset: 1

Author

Hugo Pfoertner, May 23 2002

Keywords

• nonn

Comments

a(n)^2 = A071383(n) for a(n) = 1, 5, 65, ... .

Links

• Ray Chandler, Table of n, a(n) for n = 1..425
• Hugo Pfoertner, Construction of A071383, A071384, A071385

Crossrefs

Cf. A071383, A071385, A046109.

Formula

a(n) = ceiling ( A071383(n)^(1/2) ).

Extensions

Description clarified by Günter Rote, Sep 13 2023