Limit of the sequence obtained from S(0) = (1,1) and, for n > 0, S(n) = I(S(n-1)), where I consists of inserting, for i = 1, 2, 3..., the term a(i) + a(i+1) between any two terms for which 7*a(i+1) <= 11*a(i).

A082630

Limit of the sequence obtained from S(0) = (1,1) and, for n > 0, S(n) = I(S(n-1)), where I consists of inserting, for i = 1, 2, 3..., the term a(i) + a(i+1) between any two terms for which 7*a(i+1) <= 11*a(i).

Terms

    a(0) =1a(1) =2a(2) =5a(3) =8a(4) =19a(5) =30a(6) =71a(7) =112a(8) =265a(9) =418a(10) =989a(11) =1560a(12) =3691a(13) =5822a(14) =13775a(15) =21728a(16) =51409a(17) =81090a(18) =191861a(19) =302632a(20) =716035a(21) =1129438a(22) =2672279a(23) =4215120a(24) =9973081a(25) =15731042a(26) =37220045a(27) =58709048a(28) =138907099a(29) =219105150

External references