OFFSET
1,1
COMMENTS
Taxi-cab numbers (A001235) that are the sum of two nonzero squares in more than one way and also the sum of a positive square and a positive cube in more than one way.
Subsequence of A273498.
14753560033 = 1453*2677*3793 is the first term that is in A272935.
Obviously, in this sequence there are perfect powers infinitely many times.
EXAMPLE
36998208 is a term because 36998208 = 102^3 + 330^3 = 144^3 + 324^3 = 1728^2 + 324^3 = 5832^2 + 144^3 = 648^2 + 6048^2 = 1728^2 + 5832^2.
CROSSREFS
KEYWORD
nonn
AUTHOR
Altug Alkan, May 23 2016
EXTENSIONS
a(2)-a(19) from Giovanni Resta, May 24 2016
STATUS
approved