OFFSET
4,4
COMMENTS
Number of compositions (ordered partitions) of n into 4 or more squares.
FORMULA
a(n) = Sum_{k=4..n} A337165(n,k). - Alois P. Heinz, Sep 14 2021
MAPLE
b:= proc(n, t) option remember; `if`(n=0, `if`(t=0, 1, 0), add((
s->`if`(s>n, 0, b(n-s, max(0, t-1))))(j^2), j=1..isqrt(n)))
end:
a:= n-> b(n, 4):
seq(a(n), n=4..47); # Alois P. Heinz, Sep 14 2021
MATHEMATICA
nmax = 47; CoefficientList[Series[(EllipticTheta[3, 0, x] - 1)^4/(8 (3 - EllipticTheta[3, 0, x])), {x, 0, nmax}], x] // Drop[#, 4] &
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 14 2021
STATUS
approved