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%I #20 Aug 01 2019 00:07:08
%S 1,1,2,5,11,23,49,105,225,485,1045,2252,4852,10452,22517,48510,104508,
%T 225153,485075,1045058,2251505,4850716,10450546,22515012,48507117,
%U 104505409,225150073,485071123,1045054049,2251500692
%N a(n) is the number of cubes with at most n digits and first digit 1.
%C Asymptotically, the probability that a cube begins with 1 is (2^(1/3) - 1)/(10^(1/3) - 1).
%C A generalization to arbitrary powers is found in Hürlimann, 2004. As the power increases, the probability distribution approaches Benford's law.
%H W. Hürlimann, <a href="http://www.ijpam.eu/contents/2004-11-1/4/4.pdf">Integer powers and Benford's law</a>, International Journal of Pure and Applied Mathematics, vol. 11, no. 1, pp. 39-46, 2004.
%H <a href="/index/Be#Benford">Index entries for sequences related to Benford's law</a>
%Y Cf. A083377, A083378, A083379.
%K base,easy,nonn
%O 1,3
%A Werner S. Hürlimann (whurlimann(AT)bluewin.ch), Jun 05 2003
%E Edited by _Don Reble_, Nov 05 2005