A364341 - OEIS

A364341

a(n) is the greatest k such that there are exactly n distinct numbers j that can be expressed as the sum of two squares with k^2 < j < (k+1)^2, or -1 if such a k does not exist.

0, 1, 3, 4, 6, 7, 11, 10, 14, 12, 16, 20, 22, 23, 21, 27, 29, 30, 32, 35, 38, 37, 42, 44, 47, 43, 54, 52, 51, 58, 57, 62, 56, 71, 64, 67, 68, 73, 76, 77, 78, 83, 72, 87, 90, 91, -1, 95, 103, 100, 107, 109, 105, 104, 108, -1, 116, 119, 110, 129, 117, 126, -1, 128, 134