Squared radii of the spheres around (0,0,0) that contain record numbers of lattice points.

Terms

a(0) =1a(1) =2a(2) =5a(3) =9a(4) =14a(5) =26a(6) =41a(7) =74a(8) =89a(9) =101a(10) =146a(11) =194a(12) =269a(13) =314a(14) =341a(15) =446a(16) =614a(17) =626a(18) =689a(19) =794a(20) =854a(21) =941a(22) =1106a(23) =1109a(24) =1154a(25) =1286a(26) =1361a(27) =1634a(28) =1781a(29) =1889