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A052508 Smallest number such that the largest set of positive real numbers whose sum and product equals the number falls short by n. 0
4, 5, 10, 26, 70, 188, 510, 1384, 3760, 10220, 27779, 75510, 205256, 557941, 1516639 (list; graph; refs; listen; history; text; internal format)
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

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Last modified May 31 06:22 EDT 2020. Contains 334747 sequences. (Running on oeis4.)