a(0)=1, a(n) is the smallest integer >= a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals the number of elements in this continued fraction.

A070900

a(0)=1, a(n) is the smallest integer >= a(n-1) such that the largest element in the simple continued fraction for S(n)=1/a(0)+1/a(1)+1/a(2)+...+1/a(n) equals the number of elements in this continued fraction.