A165923 a(n) = sum of the square-full quadratic residues of n.

0, 0, 0, 0, 4, 4, 4, 4, 4, 13, 13, 13, 25, 21, 13, 13, 37, 29, 29, 29, 47, 61, 67, 41, 53, 66, 54, 62, 126, 78, 128, 54, 93, 112, 54, 82, 157, 162, 129, 134, 208, 136, 154, 122, 130, 211, 239, 90, 192, 207, 157, 239, 327, 286, 248, 251, 290, 362, 319, 248, 459