A015644 Number of 5-tuples of different integers from [ 1,n ] with no common factors among quadruples.

0, 0, 0, 0, 1, 6, 21, 52, 121, 226, 431, 688, 1167, 1726, 2651, 3696, 5441, 7140, 10059, 12941, 17287, 21710, 28659, 34724, 44705, 53942, 67131, 79828, 99171, 114846, 140665, 163317, 194706, 224008, 266997, 301436, 356761, 403846