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A069622
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Let Power(n) be the sequence of integer roots or powers of n. Power(1) is 1,1,1,1,... Power(4) is 1,2,4,16,64,256,... Power(27) is 1,3,9,27,729,... Power (p^k) is 1,p,p^a,p^b,...p^k, p^2k,p^3k,...where p is a prime and a,b etc. are divisors of k. This is the sequence of the n-th term of Power(n).
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%I #5 Mar 13 2015 00:37:54
%S 1,2,9,16,625,7776,117649,262144,4782969,1000000000,25937424601,
%T 743008370688,23298085122481,793714773254144,29192926025390625,
%U 4503599627370496,48661191875666868481,2185911559738696531968
%N Let Power(n) be the sequence of integer roots or powers of n. Power(1) is 1,1,1,1,... Power(4) is 1,2,4,16,64,256,... Power(27) is 1,3,9,27,729,... Power (p^k) is 1,p,p^a,p^b,...p^k, p^2k,p^3k,...where p is a prime and a,b etc. are divisors of k. This is the sequence of the n-th term of Power(n).
%e a(16) = 4503599627370496 = 16th term of Power(16): 1,2,4,16,256,4096,...
%K nonn
%O 1,2
%A _Amarnath Murthy_, Mar 27 2002
%E More terms from Larry Reeves (larryr(AT)acm.org), Jul 03 2002
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