OFFSET
0,3
LINKS
J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, arXiv:0704.1282 [math.HO], 2007-2010.
J. Sondow, A geometric proof that e is irrational and a new measure of its irrationality, Amer. Math. Monthly 113 (2006) 637-641.
J. Sondow and K. Schalm, Which partial sums of the Taylor series for e are convergents to e? (and a link to the primes 2, 5, 13, 37, 463), II, Gems in Experimental Mathematics (T. Amdeberhan, L. A. Medina, and V. H. Moll, eds.), Contemporary Mathematics, vol. 517, Amer. Math. Soc., Providence, RI, 2010.
EXAMPLE
The 6th convergent to e is 87/32 and 32 divides 8! but not 7!, so a(6) = 8.
CROSSREFS
KEYWORD
hard,more,nonn
AUTHOR
Jonathan Sondow, Aug 16 2006
EXTENSIONS
Extended by Max Alekseyev, Jul 28 2009
Missing a(7)=71 inserted by Georg Fischer, Oct 15 2024
STATUS
approved