OFFSET
8,4
LINKS
FORMULA
G.f.: (theta_3(x) - 1)^8 / 256, where theta_3() is the Jacobi theta function.
MAPLE
b:= proc(n, t) option remember;
`if`(n=0, `if`(t=0, 1, 0), `if`(t<1, 0, add((s->
`if`(s>n, 0, b(n-s, t-1)))(j^2), j=1..isqrt(n))))
end:
a:= n-> b(n, 8):
seq(a(n), n=8..64); # Alois P. Heinz, Jan 31 2021
MATHEMATICA
nmax = 64; CoefficientList[Series[(EllipticTheta[3, 0, x] - 1)^8/256, {x, 0, nmax}], x] // Drop[#, 8] &
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Jan 31 2021
STATUS
approved