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 A119822 Decimal representation of continued fraction 1, 2, 5, 14, 42, ... (Catalan numbers). 1

%I

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

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

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

%N Decimal representation of continued fraction 1, 2, 5, 14, 42, ... (Catalan numbers).

%e C = 1.4551272285774927635625191234406153249189871268608242622277147684420899838823\

%e 73924521114697520004056194525621494510648677450892641...

%e C is a limit of continued fraction of Catalan numbers (1 + 1/(2 + 1/(5 + 1/(14 + 1/(42 + 1/(132 + 1/(429 + 1/(1430 + 1/(4862 + 1/16796 + ...

%t RealDigits[ Normal[ ContinuedFractionForm[ Table[(2k)!/k!/(k+1)!, {k,1,30} ]]], 10, 130] [[1]]

%Y Cf. A071897, A060997, A000108.

%K cons,nonn

%O 1,2

%A _Alexander Adamchuk_, Jul 30 2006

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Last modified October 23 07:20 EDT 2018. Contains 316520 sequences. (Running on oeis4.)