A modified Heron sequence starting from 1, 2.

Terms

a(0) =1a(1) =2a(2) =3a(3) =10a(4) =27a(5) =98a(6) =120a(7) =327a(8) =196745a(9) =277248a(10) =312987a(11) =405769a(12) =456300a(13) =575532a(14) =702219