OFFSET
1,1
COMMENTS
If k is in the sequence, then k*m is in the sequence for every positive integer m.
Conjecture: 35 is the largest integer not in the sequence. - Jon E. Schoenfield, Mar 24 2018
LINKS
Eric Weisstein's World of Mathematics, Diophantine Equation 6th Powers.
EXAMPLE
18^6 = 2^6 + 5^6 + 5^6 + 5^6 + 7^6 + 7^6 + 9^6 + 9^6 + 10^6 + 14^6 + 17^6.
19^6 = 1^6 + 7^6 + 7^6 + 7^6 + 8^6 + 12^6 + 13^6 + 13^6 + 13^6 + 13^6 + 17^6.
30^6 = 1^6 + 2^6 + 7^6 + 7^6 + 9^6 + 12^6 + 17^6 + 17^6 + 19^6 + 23^6 + 28^6.
31^6 = 3^6 + 4^6 + 7^6 + 7^6 + 11^6 + 11^6 + 13^6 + 13^6 + 23^6 + 25^6 + 28^6.
32^6 = 7^6 + 7^6 + 7^6 + 17^6 + 17^6 + 17^6 + 18^6 + 20^6 + 20^6 + 25^6 + 29^6.
33^6 = 1^6 + 4^6 + 4^6 + 6^6 + 10^6 + 14^6 + 20^6 + 20^6 + 24^6 + 28^6 + 28^6.
34^6 = 1^6 + 1^6 + 2^6 + 5^6 + 7^6 + 7^6 + 12^6 + 17^6 + 23^6 + 28^6 + 31^6.
36^6 = 1^6 + 1^6 + 1^6 + 7^6 + 14^6 + 14^6 + 19^6 + 19^6 + 19^6 + 30^6 + 33^6.
CROSSREFS
KEYWORD
nonn
AUTHOR
Seiichi Manyama, Mar 24 2018
EXTENSIONS
a(9)-a(65) from Jon E. Schoenfield, Mar 24 2018
STATUS
approved