OFFSET
0,2
COMMENTS
x=2.30553839092543... is the unique value at which the limit is 1: lim_{n->infinity} x^(n+1)/(ceiling(x^n) + a(n)) = 1; a(n) ~ (x-1)*x^n.
FORMULA
a(0)=1, a(n+1) = ceiling( x*a(n) + x*ceiling(x^n) - ceiling(x^(n+1)) ), where x=2.30553839092543...
CROSSREFS
KEYWORD
nonn
AUTHOR
Paul D. Hanna, Jun 06 2003
STATUS
approved