OFFSET
1,1
COMMENTS
The exponent of a(n) is > 2 thus terminating the progression of n consecutive preceding squares with exponents = 2 (A111245).
Is this sequence strictly increasing? - David A. Corneth, Jan 19 2021
LINKS
David A. Corneth, Table of n, a(n) for n = 1..6963 (terms <= 10^22)
David A. Corneth, PARI program
EXAMPLE
See A340661.
From David A. Corneth, Jan 19 2021: (Start)
a(3) = 216 as in the perfect powers we see ..., 128 = 2^7, 144 = 12^2, 169 = 13^2, 196 = 14^2, 216 = 6^3, ... . We write them as powers of m^k where k is chosen as large as possible such that m and k are integers.
Then between two perfect powers with k > 2 (being 128 = 2^7 and 216 = 6^3) we have three consecutive perfect powers with k = 2. As 216 closes this earliest streak of 3, a(3) = 216. (End)
PROG
(PARI) \\ See Corneth link
CROSSREFS
KEYWORD
nonn
AUTHOR
Hugo Pfoertner, Jan 18 2021
STATUS
approved