OFFSET
3,1
COMMENTS
Conjecture 1: The sequence contains only 1's and primes.
Similar terms of A164314.
Conjecture: Record values correspond to A028871(m), m > 1. - Bill McEachen, Mar 06 2024
a(n) = 1 positions appear to correspond to A060515(m), m > 2. - Bill McEachen, Aug 05 2024
LINKS
Bill McEachen, Table of n, a(n) for n = 3..10002
Mohammed Bouras, The Distribution Of Prime Numbers And Continued Fractions, (ppt) (2022)
FORMULA
EXAMPLE
PROG
(PARI) a051403(n) = (n+2)*sum(k=0, n, k!)/2;
a(n) = (n^2 - 2)/gcd(n^2 - 2, 2*a051403(n-3) + n*a051403(n-4)); \\ Michel Marcus, May 24 2023
CROSSREFS
KEYWORD
nonn
AUTHOR
Mohammed Bouras, May 19 2023
STATUS
approved