A052508 Smallest number such that the largest set of positive real numbers whose sum and product equals the number falls short by n.

4, 5, 10, 26, 70, 188, 510, 1384, 3760, 10220, 27779, 75510, 205256, 557941, 1516639

Offset: 0

Author

Mike Sheppard (guinness42(AT)hotmail.com), Mar 17 2000

Keywords

• nonn
• more

Comments

Let s be the number of elements in the largest set of positive real numbers whose sum and products both equal x. Define m=x-s. a(n) is the smallest x such that m=n.

Limit_{n->oo} a(n+1)/a(n) = e.

References

• Timothy M. Hsu, Private Communication.