OFFSET
0,3
COMMENTS
Differs from A206301 first at n=10.
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..3250
FORMULA
G.f.: Product_{j>0} 1/(1-x^j)^ceiling(2^(j-2)).
MAPLE
b:= proc(n, i) option remember; `if`(n=0, 1, `if`(i<1, 0, add(
b(n-i*j, i-1)*binomial(ceil(2^(i-2))+j-1, j), j=0..n/i)))
end:
a:= n-> b(n$2):
seq(a(n), n=0..35);
# second Maple program:
a:= proc(n) option remember; `if`(n=0, 1, add(a(n-j)*add(d*
ceil(2^(d-2)), d=numtheory[divisors](j)), j=1..n)/n)
end:
seq(a(n), n=0..35);
MATHEMATICA
CoefficientList[Series[1/(1-x) * Product[1/(1 - x^k)^(2^(k-2)), {k, 2, 40}], {x, 0, 40}], x] (* Vaclav Kotesovec, Aug 11 2021 *)
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Aug 10 2021
STATUS
approved