OFFSET
1,1
COMMENTS
For A=2^(2n+2), B=2^(2n+1), C=2^(2n), n=0,1,2,... one has A^2+B^3+C^4 = 2^(4n) (16+8*4^n+16^n) = d^2 with d = 4^n (4^n+4), and A^3+B^4+C^5 = 2^(6n) (2^(2n)+8)^2 = D^2 with D = 8^n (4^n+8). So the latter represents an infinite subsequence (9, 96, 1536, ...) of this sequence.
EXAMPLE
(A, B, C) = (1, 4, 2) = 1^3 + 4^4 + 2^5 = 1 + 256 + 32 = 289 = 17^2
and 1^2 + 4^3 + 2^4 = 1 + 64 + 16 = 81 = 9^2,
so 17 is a term.
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
M. F. Hasler, Apr 04 2015
EXTENSIONS
Inserted a(3)=17 and added a(18-36) by Lars Blomberg, Apr 26 2015
STATUS
approved