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%I #10 Oct 31 2019 05:30:16
%S 2,3,0,3,8,4,2,1,9,6,2,8,3,7,7,0,4,2,2,1,1,2,3,7,5,6,0,8,8,8,2,2,6,7,
%T 8,4,6,9,7,1,1,9,6,0,7,7,8,2,8,8,0,8,5,3,4,2,1,9,3,0,5,1,7,3,0,8,5,6,
%U 3,5,1,6,9,5,8,9,0,6,1,6,3,8,4,2,2,6,0,6,2,2,5,3,6,3,8,6,5,7,0,0,4,6,1,8,9
%N Decimal expansion of y_1, the first of four non-explicit constants recursively derived from Khintchine's [Khinchin's] constant.
%D Steven R. Finch, Mathematical Constants, Cambridge University Press, 2003, Section 1.8.1 Alternative representations [of real numbers], p. 63.
%H Herman P. Robinson, <a href="http://www.escholarship.org/uc/item/2t95c0bp">Mathematical Constants.</a>
%e 2.303842196283770422112375608882267846971196077828808534219305173...
%t K = Khinchin; a[0] = pi[0] = 2; pi[n_] := Product[a[i], {i, 0, n}]; Clear[a]; a[n_] := a[n] = Floor[K^(n+1)/pi[n-1]]; FromContinuedFraction[Array[a, 300, 0]] // RealDigits[#, 10, 105]& // First
%Y Cf. A002210, A245256, A245257, A245258.
%K nonn,cons
%O 1,1
%A _Jean-François Alcover_, Jul 15 2014
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