a(n) is the limiting term of the n-th column of the triangle in A188919.

Terms

a(0) =1a(1) =1a(2) =2a(3) =4a(4) =7a(5) =13a(6) =22a(7) =38a(8) =63a(9) =105a(10) =169a(11) =274a(12) =434a(13) =686a(14) =1069a(15) =1660a(16) =2548a(17) =3897a(18) =5906a(19) =8911a(20) =13352a(21) =19917a(22) =29532a(23) =43605a(24) =64056a(25) =93715a(26) =136499a(27) =198059a(28) =286233a(29) =412199