A098644 Number of partitions of Fibonacci(n) into Fibonacci numbers, some of which are odd and some of which are even.
0, 0, 0, 1, 3, 7, 30, 129, 710, 5233, 51819, 709352, 13710800, 379963761, 15289965453, 902291244954, 78717614351420, 10220774050567926, 1986419713778008167, 580763090016320217550, 256553735019174430718651
Offset: 1