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A347808 Expansion of (theta_3(x) - 1)^5 / (16 * (3 - theta_3(x))). 4
1, 1, 1, 6, 7, 8, 19, 25, 37, 56, 76, 122, 170, 233, 347, 494, 700, 991, 1415, 2021, 2855, 4054, 5751, 8164, 11585, 16406, 23285, 33032, 46814, 66375, 94119, 133445, 189193, 268231, 380287, 539184, 764422, 1083722, 1536479, 2178349, 3088333, 4378472, 6207557 (list; graph; refs; listen; history; text; internal format)
OFFSET
5,4
COMMENTS
Number of compositions (ordered partitions) of n into 5 or more squares.
LINKS
FORMULA
a(n) = Sum_{k=5..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, 5):
seq(a(n), n=5..47); # Alois P. Heinz, Sep 14 2021
MATHEMATICA
nmax = 47; CoefficientList[Series[(EllipticTheta[3, 0, x] - 1)^5/(16 (3 - EllipticTheta[3, 0, x])), {x, 0, nmax}], x] // Drop[#, 5] &
CROSSREFS
Sequence in context: A355199 A358557 A112813 * A048018 A254714 A047197
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Sep 14 2021
STATUS
approved

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Last modified May 28 16:48 EDT 2024. Contains 372916 sequences. (Running on oeis4.)