|
|
A102049
|
|
Indices of primes which are denominators of convergents to e.
|
|
2
|
|
|
|
OFFSET
|
1,1
|
|
COMMENTS
|
a(6)-a(7) computed using Kim Walisch's primecount program. - Giovanni Resta, Jun 03 2019
|
|
LINKS
|
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; arXiv:0709.0671 [math.NT], 2007-2009.
Eric Weisstein's World of Mathematics, e.
|
|
FORMULA
|
|
|
EXAMPLE
|
a(1) = 2 because the first convergent to e with prime denominator is 8/3 and the index of 3 is 2, i.e., 3 is the 2nd prime.
|
|
CROSSREFS
|
|
|
KEYWORD
|
nonn,more
|
|
AUTHOR
|
|
|
EXTENSIONS
|
|
|
STATUS
|
approved
|
|
|
|