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A233589 Decimal expansion of the continued fraction c(1) +c(1)/(c(2) +c(2)/(c(3) +c(3)/(c(4) +c(4)/....))), where c(i)=(i-1)!. 10
1, 6, 9, 8, 8, 0, 4, 7, 6, 7, 6, 7, 0, 0, 0, 7, 2, 1, 1, 9, 5, 2, 6, 9, 0, 1, 1, 5, 9, 1, 4, 6, 4, 0, 4, 3, 2, 5, 5, 9, 7, 3, 0, 9, 3, 6, 6, 4, 9, 8, 3, 9, 6, 9, 7, 8, 1, 7, 4, 1, 9, 1, 7, 4, 2, 6, 8, 9, 2, 0, 0, 0 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,2

LINKS

Stanislav Sykora, Table of n, a(n) for n = 1..20000

S. Sykora, Blazys' Expansions and Continued Fractions, Stans Library, Vol.IV, 2013, DOI 10.3247/sl4math13.001

S. Sykora, PARI/GP scripts for Blazys expansions and fractions, OEIS Wiki

FORMULA

Equals 0!+0!/(1!+1!/(2!+2!/(3!+3!/(4!+...)))).

EXAMPLE

1.69880476767000721195269011591464043255973093664983969781741917426892...

MATHEMATICA

RealDigits[ Fold[(#2 + #2/#1) &, 1, Reverse@ Range[0, 18]!], 10, 111][[1]] (* Robert G. Wilson v, May 22 2014 *)

PROG

(PARI) See the link.

CROSSREFS

Cf. A233588.

Cf. A000142 (factorials).

Cf. Blazys' continued fractions: A233588, A233590, A233591 and Blazys' expansions: A233582, A233583, A233584, A233585, A233586, A233587.

Sequence in context: A153603 A198557 A198214 * A199282 A133614 A255674

Adjacent sequences:  A233586 A233587 A233588 * A233590 A233591 A233592

KEYWORD

cons,nonn

AUTHOR

Stanislav Sykora, Jan 06 2014

STATUS

approved

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Last modified May 22 16:19 EDT 2017. Contains 286882 sequences.