A238695 Decimal expansion of Product_{n>=0} (1+1/n!).

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

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: A354627 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