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%I #11 Jan 04 2016 01:57:28
%S 0,8,3,1,9,3,110,1,7,1,10,4,2,10,1,3,1,1,10,2,5,8,1,9,8,1,997,1,109,8,
%T 1,111,4,9,2,2,1,1,1,1,2,1,53,1,3,1,6,5,1,1,3,1,4,3,1,1,6,1,1,59,2,1,
%U 1,1,8,2,9,11,5,6,33,1,1,3,2,6,9,3,2,20,1,7,1,27,1,20,5,1,229,1,2,12,6
%N Continued fraction for 0.12112111211112... (A042974).
%H Harry J. Smith, <a href="/A056030/b056030.txt">Table of n, a(n) for n = 1..20000</a>
%H G. Xiao, <a href="http://wims.unice.fr/~wims/en_tool~number~contfrac.en.html">Contfrac</a>
%H <a href="/index/Con#confC">Index entries for continued fractions for constants</a>
%e 0.121121112111121111121111112... = 0 + 1/(8 + 1/(3 + 1/(1 + 1/(9 + ...)))). - _Harry J. Smith_, May 08 2009
%t ContinuedFraction[N[1/9,1000]+N[Sum[10^-(n(n+3)/2),{n,1,50}],1000],100]
%o (PARI) { allocatemem(932245000); default(realprecision, 20080); x=0; for (n=1, 20000, x=10*x + 1 + issquare(9+8*n)); x/=10^20000; x=contfrac(x); for (n=1, 20000, write("b056030.txt", n, " ", x[n])); } \\ _Harry J. Smith_, May 08 2009
%Y Cf. A042974.
%K easy,nonn,cofr
%O 1,2
%A _Robert G. Wilson v_, Jul 24 2000
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