OFFSET
1,1
COMMENTS
Conjecture: the odd numbers (numbers k such that A225204(k)/A225205(k) > sqrt(phi)) have relative density phi^(-1), and the even numbers (number k such that A225204(k)/A225205(k) < sqrt(phi)) have relative density phi^(-2). It is conjectured so because we have lim_{k->+oo} (m/k - sqrt((m^2+1)/(k^2+1)))/(sqrt((m^2+2)/(k^2+1)) - m/k) = phi if m/k -> sqrt(phi).
LINKS
Jianing Song, Table of n, a(n) for n = 1..283
PROG
CROSSREFS
KEYWORD
nonn
AUTHOR
Jianing Song, Aug 21 2022
STATUS
approved