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A341388
Expansion of (-1 + Product_{k>=1} (1 + x^k)^k)^6.
10
1, 12, 90, 508, 2391, 9840, 36578, 125358, 402093, 1220232, 3532836, 9821280, 26352110, 68528718, 173311971, 427486178, 1030855416, 2435255634, 5645810201, 12864839166, 28850671284, 63751119334, 138946592610, 298974483954, 635626314025
OFFSET
6,2
LINKS
MAPLE
g:= proc(n) option remember; `if`(n=0, 1, add(g(n-j)*add(d^2/
`if`(d::odd, 1, 2), d=numtheory[divisors](j)), j=1..n)/n)
end:
b:= proc(n, k) option remember; `if`(k=0, 1, `if`(k=1, `if`(n=0, 0,
g(n)), (q-> add(b(j, q)*b(n-j, k-q), j=0..n))(iquo(k, 2))))
end:
a:= n-> b(n, 6):
seq(a(n), n=6..30); # Alois P. Heinz, Feb 10 2021
MATHEMATICA
nmax = 30; CoefficientList[Series[(-1 + Product[(1 + x^k)^k, {k, 1, nmax}])^6, {x, 0, nmax}], x] // Drop[#, 6] &
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, Feb 10 2021
STATUS
approved