Convolution Sum Over Divisors

[Leroy Quet]

Let a(1) = 1.

Let, for m >= 2, a(m) = 

sum{k|m, k<m} a(k) a(m-k),

where the sum is over the positive PROPER divisors, k, of m.

(We can also define a(0) = 0, and take the sum over every positive 
divisor of m.)

So, we have

(0), 1, 1, 1, 2, 2, 5, 5, 14, 19, 37, ...


What else can be said about this sequence?

(I do not believe it is in the EIS yet.)


thanks,
Leroy Quet