Each term is previous term plus ceiling of harmonic mean of two previous terms.

Terms

a(0) =1a(1) =2a(2) =4a(3) =7a(4) =13a(5) =23a(6) =40a(7) =70a(8) =121a(9) =210a(10) =364a(11) =631a(12) =1093a(13) =1894a(14) =3281a(15) =5683a(16) =9844a(17) =17050a(18) =29532a(19) =51151a(20) =88597a(21) =153455a(22) =265792a(23) =460366a(24) =797377a(25) =1381098a(26) =2392132a(27) =4143295a(28) =7176398a(29) =12429886