Exponential (or binomial) half-convolution of A000045 (Fibonacci) with itself.

Terms

a(0) =0a(1) =0a(2) =2a(3) =3a(4) =14a(5) =35a(6) =155a(7) =371a(8) =1518a(9) =3891a(10) =15745a(11) =40755a(12) =161459a(13) =426803a(14) =1671175a(15) =4469555a(16) =17301630a(17) =46805811a(18) =179569163a(19) =490156851a(20) =1865624365a(21) =5132989235a(22) =19404565567a(23) =53753361203a(24) =201986220339a(25) =562912506675