OFFSET
3,1
COMMENTS
Conjecture: Except for 9, every term of this sequence is either a prime or 1.
Conjecture: Record values correspond to A248697 (n>3). - Bill McEachen, Mar 06 2024
LINKS
Mohammed Bouras, The Distribution Of Prime Numbers And Continued Fractions, (ppt) (2022)
FORMULA
EXAMPLE
For n=3, 1/(2 - 3/(-3)) = 1/3, so a(3) = 3.
For n=4, 1/(2 - 3/(3 - 4/(-3))) = 13/17, so a(4) = 17.
For n=5, 1/(2 - 3/(3 - 4/(4 - 5/(-3)))) = 13/9, so a(5) = 9.
a(4) = a(12) = 4 + 12 + 1 = 17.
a(7) = a(45) = 7 + 45 + 1 = 53.
CROSSREFS
KEYWORD
nonn
AUTHOR
Mohammed Bouras, May 28 2023
STATUS
approved