Series ratios converge alternately to sqrt(2) and 1+sqrt(1/2).

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =7a(6) =10a(7) =17a(8) =24a(9) =41a(10) =58a(11) =99a(12) =140a(13) =239a(14) =338a(15) =577a(16) =816a(17) =1393a(18) =1970a(19) =3363a(20) =4756a(21) =8119a(22) =11482a(23) =19601a(24) =27720a(25) =47321a(26) =66922a(27) =114243a(28) =161564a(29) =275807