A120158 a(1)=14; a(n)=floor((43+sum(a(1) to a(n-1)))/3).

14, 19, 25, 33, 44, 59, 79, 105, 140, 187, 249, 332, 443, 590, 787, 1049, 1399, 1865, 2487, 3316, 4421, 5895, 7860, 10480, 13973, 18631, 24841, 33122, 44162, 58883, 78511, 104681, 139575, 186100, 248133, 330844, 441125, 588167, 784223, 1045630