A282529 Decimal expansion of Product_{n>=2} (1-1/n!).

3, 9, 5, 3, 3, 8, 5, 6, 7, 3, 6, 7, 4, 4, 5, 5, 6, 6, 0, 3, 2, 3, 5, 6, 2, 0, 0, 4, 3, 1, 1, 8, 0, 6, 1, 3, 0, 2, 6, 6, 5, 6, 4, 8, 6, 7, 5, 8, 7, 2, 0, 1, 3, 2, 5, 0, 1, 1, 9, 7, 3, 9, 0, 1, 5, 1, 7, 4, 1, 6, 2, 0, 3, 8, 4, 7, 7, 5, 6, 1, 2, 6, 7, 0, 9, 2, 0, 0, 7, 7, 9, 3, 8, 9, 1, 0, 2, 2, 7, 0, 1, 1, 5, 8, 6, 8, 5, 4, 9, 6, 4, 0, 8, 4, 6, 7

Offset

0,1

Comments

Conjectured to be irrational, transcendental and normal, none have been shown.

Links

Lucian Craciun, Table of n, a(n) for n = 0..9900

StackExchange, Closed form for Product_{n>=2} (1-1/n!), Nov 11 2016.

Wolfram Alpha, Product_{n>=2} (1-1/n!).

Formula

Equals 1/A247551. - Amiram Eldar, Sep 15 2023

Example

0.39533856736744556603235620043118061302665648675872...

Maple

evalf(product(1-1/n!, n = 2..infinity), 100); # Lucian Craciun, Feb 22 2017

Mathematica

RealDigits[Product[1-1/n!, {n, 2, 70}], 10, 100][[1]] (* Robert G. Wilson v, Mar 19 2014 *)

Prog

(PARI) prodinf(n=3, 1-1/gamma(n)) \\ Charles R Greathouse IV, Nov 13 2014

Crossrefs

Cf. A238695, A247551.

Sequence in context: A265272 A021257 A358190 * A070341 A245719 A085851

Adjacent sequences: A282526 A282527 A282528 * A282530 A282531 A282532

Keyword

nonn,cons

Author

Lucian Craciun, Feb 22 2017

Status

approved