|
%I #10 Sep 08 2022 08:45:30
%S 1,2,3,4,5,7,10,15,22,32,47,69,100,147,216,317,465,682,1000,1468,2155,
%T 3163,4642,6813,10000,14678,21545,31623,46416,68130,100000,146780,
%U 215444,316228,464159,681293,1000000,1467800,2154435,3162278,4641589
%N Smallest number whose sixth power has n digits.
%C Powers of sixth root of 10 rounded up.
%H Vincenzo Librandi, <a href="/A130080/b130080.txt">Table of n, a(n) for n = 1..1000</a>
%F a(n) = ceiling(10^((n-1)/6)).
%e 6^6 = 46656 has five digits, 7^6 = 117649 has six digits, hence a(6) = 7.
%t Table[(Ceiling[10^((n - 1)/6)]), {n, 1, 100}] (* _Vincenzo Librandi_, Sep 20 2013 *)
%o (Magma) [ Ceiling(Root(10^(n-1),6)): n in [1..41] ];
%Y Cf. A011557 (powers of 10), A017936 (smallest number whose square has n digits), A018005 (smallest number whose cube has n digits), A018074 (smallest number whose fourth power has n digits), A018143 (smallest number whose fifth power has n digits), A130081 to A130084 (smallest number whose seventh ... tenth power has n digits).
%K nonn,base,easy
%O 1,2
%A _Klaus Brockhaus_, May 07 2007
|
