Number of increasing subsequences that can be made from the sequence of successive primes.

Terms

a(0) =1a(1) =2a(2) =3a(3) =5a(4) =8a(5) =14a(6) =25a(7) =40a(8) =68a(9) =105a(10) =160a(11) =245a(12) =352a(13) =508a(14) =742a(15) =1039a(16) =1497a(17) =2085a(18) =2823a(19) =3875a(20) =5362a(21) =7174a(22) =9607a(23) =12698a(24) =16837a(25) =25317a(26) =38608a(27) =56459a(28) =79955a(29) =111702