OFFSET
0,4
COMMENTS
Weigh transform of A008480.
FORMULA
G.f.: Product_{k>=1} (1 + x^k)^A008480(k).
MAPLE
g:= proc(n) option remember; (l-> add(i, i=l)!/
mul(i!, i=l))(map(i-> i[2], ifactors(n)[2]))
end:
b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0,
add(binomial(g(i), j)*b(n-i*j, i-1), j=0..n/i)))
end:
a:= n-> b(n$2):
seq(a(n), n=0..60); # Alois P. Heinz, May 17 2019
MATHEMATICA
terms = 53; A[_] = 1; Do[A[x_] = (1 + x) Product[A[x^Prime[k]], {k, 1, terms}] + O[x]^(terms + 1) // Normal, terms + 1]; CoefficientList[A[x], x]
CROSSREFS
KEYWORD
nonn
AUTHOR
Ilya Gutkovskiy, May 17 2019
STATUS
approved