A024390 [ (4th elementary symmetric function of S(n))/(3rd elementary symmetric function of S(n)) ], where S(n) = {first n+3 positive integers congruent to 1 mod 4}.

0, 2, 5, 10, 15, 21, 28, 37, 46, 56, 67, 80, 93, 107, 122, 138, 156, 174, 193, 213, 235, 257, 280, 304, 330, 356, 383, 411, 441, 471, 502, 534, 568, 602, 637, 673, 711, 749, 788, 828, 870, 912