how to make maxima create equation like i give in attachment

General equation

df(2n_k) / ds = \psi [ (k-1) sqrt {n-k+2} f(2n_k-1) - k sqrt{n-k+1}
f(2n_k+1)

with k = 1,2,3,4,5...n+1 , and n = 0,1,2,3,4...n

for n=0 , we will get df(0_1) / ds = 0

for n=1, we should get equation for df(2_1)/ds and df(2_2)/ds

and for n=2, we should get equation for df(4_1)/ds , df(4_2)/ds and
df(4_3)/ds respectively.

For higher n it should follow the general equation and will generate n+1
differential equation from it,

so what i want to do is, how to code in maxima and get all those
differential equation from general equation by just giving maxima the value
of n number.

hope someone can help me and sorry for bad writing in this email because i
try to attach pdf file but then its too large for maxima newslater to
broadcast it to all of you.

Thanks a lot, if someone need the pdf file, i'll sent those file directly to
you when you reply this problem.

regards