OFFSET
3,1
COMMENTS
Conjecture: The sequence contains only 1's and the primes.
Conjecture: Record values correspond to A002144 (n>3). - Bill McEachen, May 21 2024
LINKS
Bill McEachen, Table of n, a(n) for n = 3..10002
Mohammed Bouras, The Distribution Of Prime Numbers And The Continued Fractions, (paper still under development) (2022).
Mohammed Bouras, The Distribution Of Prime Numbers And Continued Fractions, (ppt) (2022).
EXAMPLE
For n=3, 1/(2 - 3/(3 + 3)) = 2/3, so a(3)=3.
For n=4, 1/(2 - 3/(3 - 4/(4 + 3))) = 17/13, so a(4)=13.
For n=5, 1/(2 - 3/(3 - 4/(4 - 5/(5 + 3)))) = 49/17, so a(5)=17.
CROSSREFS
KEYWORD
nonn
AUTHOR
Mohammed Bouras, Feb 28 2024
STATUS
approved