Search: id:A048707
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%I A048707
%S A048707 0,1,6,105,27030,1771476585,7608434000728254870,140350834813144189858090274002849666665,
%T A048707 47758914269546354982683078068829456704164423862093743397580034411621752859030
%N A048707 Numerators of ratios converging to Thue-Morse constant.
%C A048707 Also interpret each iteration of the construction of the Thue-Morse constant 
               as a binary number converted to a decimal number. Thus (0_b, 01_b, 
               0110_b, 01101001_b ...) gives the present sequence in decimal. - 
               Robert G. Wilson v Sep 22 2006.
%H A048707 Beeler, M., Gosper, R. W. and Schroeppel, R., <a href="http://www.inwap.com/
               pdp10/hbaker/hakmem/series.html#item122">HAKMEM, ITEM 122 (Schroeppel, 
               Gosper)</a>
%H A048707 Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/
               Thue-MorseSequence.html">Thue-Morse Sequence</a>
%F A048707 a(0) = 0, a(n) = (a(n-1)+1)*((2^(2^(n-1)))-1)
%t A048707 Table[ FromDigits[ Nest[ Flatten[ #1 /. {0 -> {0, 1}, 1 -> {1, 0}}] &, 
               {0}, n], 2], {n, 0, 8}] (* Robert G. Wilson v Sep 22 2006 *)
%Y A048707 The denominators are given by A001146. Consists of every 2^n-th term 
               of A019300. Cf. A048708 (same sequence in hexadecimal) and A014571, 
               A010060, A014572.
%Y A048707 Cf. A080814, A080815, A133468.
%Y A048707 Sequence in context: A013300 A109819 A162130 this_sequence A075068 A055763 
               A083432
%Y A048707 Adjacent sequences: A048704 A048705 A048706 this_sequence A048708 A048709 
               A048710
%K A048707 nonn
%O A048707 0,3
%A A048707 Antti Karttunen, Mar 09 1999

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