|
|
A340983
|
|
Number of ways to write n as an ordered sum of 10 positive cubes.
|
|
8
|
|
|
1, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 45, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 10, 0, 210, 0, 0, 0, 0, 90, 0, 252, 0, 0, 0, 0, 360, 0, 210, 0, 0, 0, 0, 840, 0, 120, 0, 0, 45, 0, 1260, 0, 45, 0, 0, 360, 0, 1260, 0, 20, 0, 0, 1260, 0, 840, 0, 91, 0, 0, 2520, 0, 360, 0, 360, 120, 0, 3150, 0, 90
(list;
graph;
refs;
listen;
history;
text;
internal format)
|
|
|
OFFSET
|
10,8
|
|
LINKS
|
|
|
FORMULA
|
G.f.: (Sum_{k>=1} x^(k^3))^10.
|
|
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^3), j=1..iroot(n, 3))))
end:
a:= n-> b(n, 10):
|
|
MATHEMATICA
|
nmax = 92; CoefficientList[Series[Sum[x^(k^3), {k, 1, Floor[nmax^(1/3)] + 1}]^10, {x, 0, nmax}], x] // Drop[#, 10] &
|
|
CROSSREFS
|
Cf. A000578, A010057, A025463, A051344, A280618, A340977, A340978, A340979, A340980, A340981, A340982.
|
|
KEYWORD
|
|
|
AUTHOR
|
|
|
STATUS
|
approved
|
|
|
|