OFFSET
0,1
COMMENTS
This constant is irrational (Sàndor, 1997).
LINKS
József Sàndor, On the irrationality of certain alternative Smarandache series, in: C. Dumitrescu and V. Seleacu (eds.), Proceedings of the first international conference on Smarandache type notions in number theory, University of Craiova, 21-24 August 1997, American Research Press, 1997, pp. 124-125.
EXAMPLE
0.37213844163204281468199194158558396902073794563977...
MATHEMATICA
kempner[n_] := Module[{k = 1}, While[! Divisible[k!, n], k++]; k]; RealDigits[Sum[(-1)^(n + 1) * kempner[n]/n!, {n, 1, 100}], 10, 100][[1]]
CROSSREFS
KEYWORD
nonn,cons
AUTHOR
Amiram Eldar, Jul 07 2021
STATUS
approved