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Least n-th power that begins with k^(n-1) for some k > 1.
1

%I #5 Dec 05 2013 19:56:38

%S 1,4,64,81,16807,1000000,10000000,100000000,1000000000,10000000000,

%T 100000000000,1000000000000,10000000000000,100000000000000,

%U 1000000000000000,10000000000000000,100000000000000000

%N Least n-th power that begins with k^(n-1) for some k > 1.

%C a(n) = 10^n for 6 <= n <= 500 (I haven't checked past 500.) - _David Wasserman_, Jan 05 2006

%e a(1) = 1 because 1 begins with 2^0. a(5) = 16807 because 16807 begins with 2^4.

%Y Cf. A090568.

%Y Cf. A067442.

%K base,nonn

%O 1,2

%A _Amarnath Murthy_, Dec 11 2003

%E Corrected and extended by _David Wasserman_, Jan 05 2006