OFFSET
1,1
COMMENTS
The sequence has 622 terms. See linked files for all solutions.
A natural number s occurs k times in the list if there exist k multisets {x,y,z} of natural numbers with s = x + y + z and 10000*s = x*y*z.
LINKS
Hugo Pfoertner, Table of n, a(n) for n = 1..622
EXAMPLE
a(1) = 525 because 1.50 + 1.75 + 2.00 = 1.50*1.75*2.00 = 5.25 is the solution with minimum sum;
a(15) = a(16) = 660 because there are 2 solutions:
0.80 + 2.50 + 3.30 = 0.80*2.50*3.30 = 6.60 and
1.10 + 1.50 + 4.00 = 1.10*1.50*4.00 = 6.60;
a(31) = a(32) = 840:
0.60 + 2.80 + 5.00 = 0.60*2.80*5.00 = 8.40 and
1.00 + 1.40 + 6.00 = 1.00*1.40*6.00 = 8.40;
a(622) = 100030002 is the largest term:
0.01 + 100.01 + 1000200.00 = 0.01*100.01*1000200.00 = 1000300.02.
KEYWORD
nonn,base,fini,full,new
AUTHOR
Hugo Pfoertner and Markus Sigg, Mar 02 2025
STATUS
approved