OFFSET
0,2
LINKS
Alois P. Heinz, Table of n, a(n) for n = 0..975
FORMULA
G.f.: Product_{j>0} 1/(1-x^j)^(10^j).
a(n) ~ 10^n * exp(2*sqrt(n) - 1/2 + c) / (2 * sqrt(Pi) * n^(3/4)), where c = Sum_{m>=2} 1/(m*(10^(m-1)-1)) = 0.0591946344347498235857176537123415539... - Vaclav Kotesovec, Sep 28 2017
G.f.: exp(10*Sum_{k>=1} x^k/(k*(1 - 10*x^k))). - Ilya Gutkovskiy, Nov 10 2018
MAPLE
a:= proc(n) option remember; `if`(n=0, 1, add(add(d*
10^d, d=numtheory[divisors](j))*a(n-j), j=1..n)/n)
end:
seq(a(n), n=0..30);
CROSSREFS
KEYWORD
nonn
AUTHOR
Alois P. Heinz, Sep 24 2017
STATUS
approved