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A100608 Decimal expansion of the constant whose continued fraction representation is [0!; 1!, 2!, 3!, 4!, 5!, ...] (through all nonnegative integers). 0

%I #13 Mar 07 2012 19:48:50

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

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

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

%N Decimal expansion of the constant whose continued fraction representation is [0!; 1!, 2!, 3!, 4!, 5!, ...] (through all nonnegative integers).

%H Marek Wolf, <a href="http://arxiv.org/abs/1003.4015">Continued fractions constructed from prime numbers</a> arXiv:1003.4015v2 [math.NT] Sep 26 2010

%e =1.684095900106622500339633708864307363641353533920045627377016426894475675050…

%t RealDigits[ FromContinuedFraction[ Table[k!, {k, 0, 13}]], 10, 111][[1]]

%Y Cf. A000142.

%K cons,nonn

%O 1,2

%A Joseph Biberstine (jrbibers(AT)indiana.edu), Dec 01 2004

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