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a(n) is a sixth power iff n = 0, 1, or is of the form (6*m - 10)^3 with m > 1. (End);
the only seventh powers in the sequence are 1 and a(128) = 77458109039896212820250015287665035595218944^7. (End)
the only fifth powers in the sequence are 1 and a(32) = 227200942336^5. (End);
a(n) is a sixth power iff n = 0, 1, or is of the form (6*m - 10)^3 with m > 1. (End)
It appears that: (Start)
It appears that a(n) is a cube iff n = 0, 1, or is of the form (3*m - 4)^3 with m > 1. Cf. (A016791.);
It appears that the only fourth powers in the sequence are 1 and a(9) = 21743271936 = 384^4.;
the only fifth powers in the sequence are 1 and a(32) = 227200942336^5. (End)
It appears that the only fourth powers in the sequence are 0, 1, and 21743271936 = 384^4.
It appears that the only fourth powers in the sequence are 0, 1, and 21743271936 = 384^4.