A120162 a(1)=3; a(n)=floor((14+sum(a(1) to a(n-1)))/4).

3, 4, 5, 6, 8, 10, 12, 15, 19, 24, 30, 37, 46, 58, 72, 90, 113, 141, 176, 220, 275, 344, 430, 538, 672, 840, 1050, 1313, 1641, 2051, 2564, 3205, 4006, 5008, 6260, 7825, 9781, 12226, 15283, 19103