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%I #35 Oct 15 2022 20:34:30
%S 2,28,1706,25082,816634,157704814
%N Maximal numerators in approximations to the Aurifeuillian factors of p^p +- 1.
%C If R=(p^p+-1)/(p+-1) then the left Aurifeuillian factor of R is (1/e)*sqrt(R/(1+z)), where z = Sum_{n>=1} r(n)/p^n and r(n) is a rational number in Q; a(n) is the numerator of r(n). r(7) appears to be about 0.572082, but there is insufficient precision to identify a(7).
%e The r(n) are 2/3, 28/45, 1706/2835, 25082/42525, 816634/1403325, ...
%Y Cf. A356519 (denominators), A352711, A352732, A352400, A352401.
%K frac,nonn,hard,more
%O 1,1
%A _Patrick A. Thomas_, Aug 10 2022