A100608 - OEIS

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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).

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, 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, 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

(list; constant; graph; refs; listen; history; text; internal format)

OFFSET

1,2

LINKS

Table of n, a(n) for n=1..105.

Marek Wolf, Continued fractions constructed from prime numbers arXiv:1003.4015v2 [math.NT] Sep 26 2010

EXAMPLE

=1.684095900106622500339633708864307363641353533920045627377016426894475675050…

MATHEMATICA

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

CROSSREFS

Cf. A000142.