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Decimal expansion of P^24 where P = plastic constant (A060006).
0

%I #12 Feb 15 2014 12:28:21

%S 8,5,3,0,2,5,7,9,1,9,1,9,1,9,6,2,4,8,8,8,9,5,4,2,6,2,5,7,0,8,4,0,1,5,

%T 3,3,6,7,3,5,3,8,3,9,8,6,3,3,5,1,7,9,7,0,3,9,9,3,7,0,7,8,2,4,5,9,4,6,

%U 5,5,1,1,6,0,5,6,8,6,3,3,0,5,7,2,1,4,0,7,4,5,7,8,3,6,2,3,6,9,0,0,1,7,1,0,1

%N Decimal expansion of P^24 where P = plastic constant (A060006).

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/PlasticConstant.html">Plastic Constant</a>

%H Eric Weisstein's World of Mathematics, <a href="http://mathworld.wolfram.com/DedekindEtaFunction.html">Dedekind Eta Function</a>

%e 853.0257919191962488...

%t RealDigits[(x/.First[Solve[x^3-x-1==0,x]])^24,10,120][[1]] (* _Harvey P. Dale_, Jun 24 2011 *)

%t Root[ #^3 - 853#^2 - 22# - 1 & , 1] // RealDigits[#, 10, 105]& // First (* _Jean-François Alcover_, Mar 05 2013 *)

%Y Cf. A060006.

%K nonn,cons

%O 3,1

%A _Eric W. Weisstein_, Feb 12 2006