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Positions of 1's in the binary expansion of log(4)/log(3)-1.
1

%I #20 Aug 18 2024 14:55:15

%S 2,7,8,13,16,19,20,21,24,25,31,32,34,36,39,40,42,44,47,48,49,50,52,55,

%T 57,60,61,62,69,74,75,76,77,78,80,82,84,85,86,87,89,90,91,93,94,95,96,

%U 99,103,104,105,106,107,109

%N Positions of 1's in the binary expansion of log(4)/log(3)-1.

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

%H T. D. Noe, <a href="/A004717/b004717.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[4]/Log[3]-1,2,120][[1]],1]]+1 (* _Harvey P. Dale_, Aug 18 2024 *)

%K nonn

%O 1,1

%A _Simon Plouffe_