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Positions of ones in the binary expansion of log(3)/log(2)-1.
1

%I #20 Apr 19 2019 09:17:47

%S 1,4,6,8,9,10,20,21,23,27,28,29,32,33,34,35,36,37,39,40,41,42,44,46,

%T 47,49,54,55,56,57,60,61,62,63,64,65,67,77,79,80,84,87,93,95,102,103,

%U 105,109,111,112,113,115,117

%N Positions of ones in the binary expansion of log(3)/log(2)-1.

%D Steven R. Finch, Mathematical Constants, Cambridge, 2003, pp. 430-433.

%H T. D. Noe, <a href="/A004716/b004716.txt">Table of n, a(n) for n=1..1000</a>

%H J. M. Borwein and R. Girgensohn, <a href="http://dx.doi.org/10.4153/CJM-1995-013-4">Addition theorems and binary expansions</a>, Canadian J. Math. 47 (1995) 262-273.

%H Steven R. Finch, <a href="http://www.people.fas.harvard.edu/~sfinch/constant/plff/plff.html">Plouffe's Constant</a> [Broken link]

%H Steven R. Finch, <a href="http://web.archive.org/web/20010624104257/http://www.mathsoft.com/asolve/constant/plff/plff.html">Plouffe's Constant</a> [From the Wayback machine]

%t Flatten[Position[RealDigits[Log[2,3]-1,2,200][[1]],1]] (* _Harvey P. Dale_, Aug 09 2014 *)

%K nonn

%O 1,2

%A _Simon Plouffe_