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A356518
Maximal numerators in approximations to the Aurifeuillian factors of p^p +- 1.
1
2, 28, 1706, 25082, 816634, 157704814
OFFSET
1,1
COMMENTS
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).
EXAMPLE
The r(n) are 2/3, 28/45, 1706/2835, 25082/42525, 816634/1403325, ...
CROSSREFS
Cf. A356519 (denominators), A352711, A352732, A352400, A352401.
Sequence in context: A331839 A238817 A202942 * A355070 A326366 A177400
KEYWORD
frac,nonn,hard,more
AUTHOR
Patrick A. Thomas, Aug 10 2022
STATUS
approved