A329205 - OEIS

A329205

Lexicographically last solution to Erdős's Last Equation in n variables, x_1*...*x_n = n*(x_1 + ... + x_n), with 1 <= x_1 <= ... <= x_n, written as triangle T(n,k), 1<=k<=n.

1, 4, 4, 3, 3, 3, 2, 2, 2, 6, 1, 1, 3, 5, 5, 1, 1, 2, 3, 3, 5, 1, 1, 1, 2, 3, 3, 7, 1, 1, 2, 2, 2, 2, 2, 4, 1, 1, 1, 1, 2, 3, 3, 3, 3, 1, 1, 1, 1, 1, 2, 2, 2, 3, 10, 1, 1, 1, 1, 1, 1, 1, 3, 3, 3, 11, 1, 1, 1, 1, 1, 1, 1, 2, 2, 3, 4, 6

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OFFSET

1,2

COMMENTS

a(1) = T(1,1) = 1 assumed. Any number is a solution for n=1.

REFERENCES

R. K. Guy, Sum equals product. in: Unsolved Problems in Number Theory, 3rd ed. New York: Springer-Verlag, chapter D24, (2004), 299-301.

LINKS

Table of n, a(n) for n=1..78.

David A. Corneth, list of solutions and product of variables of solutions for n = 2..160, omitting ones.

EXAMPLE

The triangle begins: