A238695 Decimal expansion of Product_{k>=0} (1+1/k!).
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
Examples
7.3643082723672572563727725096310530956542568360689...
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!)
Programs
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Maple
evalf(product(1+1/n!, n = 0..infinity), 100) # Lucian Craciun, Feb 17 2017
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Mathematica
RealDigits[Product[1+1/n!, {n, 0, 75}], 10, 106][[1]] (* Robert G. Wilson v, Mar 19 2014 *) -
PARI
prodinf(n=1,1+1/gamma(n)) \\ Charles R Greathouse IV, Nov 13 2014
Extensions
Added more digits from b-file, so as to cover exactly three full rows of text. - Lucian Craciun, Feb 22 2017
Comments