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

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.

Sequence in context: A346402 A255728 A272488 * A350795 A352769 A335005

Adjacent sequences: A100605 A100606 A100607 * A100609 A100610 A100611

Keyword

cons,nonn

Author

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

Status

approved