A071795 Numerators of a(n+1)=sum_{k=1}^n a'(n/k), a(1)=1, where a'(x)=a(x) if x integer and is linearly interpolated otherwise.

1, 1, 2, 4, 7, 23, 35, 155, 73, 201, 809, 1779, 2297, 8797, 737, 19241, 118333, 288833, 348911, 251309, 4749, 84329, 2083787, 2982589, 3471659, 4025491, 4645009, 29748557, 102164827, 7772503