The Quasi-polynomial Generalized Capsules for the coefficient of q^(m*n+1) m\
od m
for the unique formal power series satisying thefunctional equation
m
q f(q )
f(q) = 1 + -------
1 - q
for m from 2 to 10, are as follows
[[1], [0, 1], [1, 0]]
[[1], [0, 1, 2], [1, 2, 0]]
[[1], [0, 1, 2, 3], [1, 2, 3, 0]]
[[1], [0, 1, 2, 3, 4], [1, 2, 3, 4, 0]]
[[1], [0, 1, 2, 3, 4, 5], [1, 2, 3, 4, 5, 0]]
[[1], [0, 1, 2, 3, 4, 5, 6], [1, 2, 3, 4, 5, 6, 0]]
[[1], [0, 1, 2, 3, 4, 5, 6, 7], [1, 2, 3, 4, 5, 6, 7, 0]]
[[1], [0, 1, 2, 3, 4, 5, 6, 7, 8], [1, 2, 3, 4, 5, 6, 7, 8, 0]]
[[1], [0, 1, 2, 3, 4, 5, 6, 7, 8, 9], [1, 2, 3, 4, 5, 6, 7, 8, 9, 0]]
This took, 0.074, seconds.