%I A083378
%S A083378 1,2,5,12,27,58,125,271,584,1259,2714,5848,12599,27144,58480,125992,
%T A083378 271441,584803,1259921,2714417,5848035,12599210,27144176,58480354,
%U A083378 125992104,271441761,584803547,1259921049,2714417616,5848035476
%N A083378 a(n) = the largest integer whose cube has n digits and first digit 1; 
               but a(2)=2.
%C A083378 a(2)=2 because there is no integer with cube between 10 and 19.
%C A083378 A generalization to arbitrary powers is found in Huerlimann, 2003.
%C A083378 Non-mathematical comment: the line with the Huerlimann reference causes 
               the mail program "mail-dark" to think the line contains a virus. 
               - N. J. A. Sloane (njas(AT)research.att.com), Nov 10 2005
%D A083378 W. Huerlimann, Integer powers and Benford's law, preprint, 2003, available 
               at www.mathpreprints.com/math/Preprint/werner.huerlimann/20030603/
               1 or at www.geocities.com/hurlimann53 (list of publications)
%F A083378 a(n)=floor(cuberoot(10^n/5))
%Y A083378 Cf. A061439, A083377-A083380.
%Y A083378 Sequence in context: A000325 A076878 A129983 this_sequence A116712 A000102 
               A086589
%Y A083378 Adjacent sequences: A083375 A083376 A083377 this_sequence A083379 A083380 
               A083381
%K A083378 base,easy,nonn
%O A083378 1,2
%A A083378 Werner S. Huerlimann [H\"{u}rlimann] (whurlimann(AT)bluewin.ch), Jun 
               05 2003
%E A083378 Edited by Don Reble (djr(AT)nk.ca), Nov 05 2005