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

0,1

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.

Links

Table of n, a(n) for n=0..14.

Crossrefs

Sequence in context: A288141 A203853 A109675 * A305887 A074098 A196270

Adjacent sequences: A052505 A052506 A052507 * A052509 A052510 A052511

Keyword

nonn,more

Author

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

Status

approved