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Decimal expansion of y_2, the second of four non-explicit constants recursively derived from Khintchine's [Khinchin's] constant.
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%I #9 Oct 31 2019 05:30:24

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

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

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

%N Decimal expansion of y_2, the second 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 3.30384219630718251298905725146305146363000806852201418586337176944971...

%t K = Khinchin; a[0] = pi[0] = 3; pi[n_] := Product[a[i], {i, 0, n}]; Clear[a]; a[n_] := a[n] = Floor[K^(n+1)/pi[n-1]] + 1; FromContinuedFraction[Array[a, 300, 0]] // RealDigits[#, 10, 102]& // First

%Y Cf. A002210, A245255, A245257, A245258.

%K nonn,cons

%O 1,1

%A _Jean-François Alcover_, Jul 15 2014