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A238695 Decimal expansion of Product_{n>=0} (1+1/n!). 4
7, 3, 6, 4, 3, 0, 8, 2, 7, 2, 3, 6, 7, 2, 5, 7, 2, 5, 6, 3, 7, 2, 7, 7, 2, 5, 0, 9, 6, 3, 1, 0, 5, 3, 0, 9, 5, 6, 5, 4, 2, 5, 6, 8, 3, 6, 0, 6, 8, 9, 0, 7, 6, 6, 0, 7, 9, 2, 5, 5, 4, 9, 5, 3, 6, 9, 6, 2, 3, 8, 1, 6, 4, 4, 0, 7, 6, 2, 3, 9, 8, 1, 9, 8, 1, 4, 0, 5, 0, 5, 6, 3, 7, 1, 4, 8, 1, 7, 9, 0, 3, 2, 7, 2, 4, 9, 3, 9, 5, 7, 4, 5, 6, 0, 2, 1 (list; constant; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Conjectured to be irrational, transcendental and normal, none have been shown. Product is sometimes taken from n=1, leading to half the stated value.

LINKS

Lucian Craciun, Table of n, a(n) for n = 1..10000

StackExchange, Is Product_{n>=0} (1+1/n!) = e^2?, Apr 06 2013

StackExchange, How to compute Product_{n>=1} (1+1/n!)?, Aug 05 2013

Wolfram Alpha, Product_{n>=0} (1+1/n!)

EXAMPLE

7.3643082723672572563727725096310530956542568360689...

MAPLE

evalf(product(1+1/n!, n = 0..infinity), 100) # Lucian Craciun, Feb 17 2017

MATHEMATICA

RealDigits[Product[1+1/n!, {n, 0, 75}], 10, 106][[1]] (* Robert G. Wilson v, Mar 19 2014 *)

PROG

(PARI) prodinf(n=1, 1+1/gamma(n)) \\ Charles R Greathouse IV, Nov 13 2014

CROSSREFS

Cf. A072334, A217757, A282529.

Sequence in context: A246203 A091682 A073016 * A019819 A215693 A197028

Adjacent sequences:  A238692 A238693 A238694 * A238696 A238697 A238698

KEYWORD

nonn,cons

AUTHOR

Frederick Reckless, Mar 03 2014

EXTENSIONS

Added more digits from b-file, so as to cover exactly three full rows of text. - Lucian Craciun, Feb 22 2017

STATUS

approved

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Last modified November 19 09:15 EST 2018. Contains 317348 sequences. (Running on oeis4.)