A356518 Maximal numerators in approximations to the Aurifeuillian factors of p^p +- 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).

Links

Table of n, a(n) for n=1..6.

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

Adjacent sequences: A356515 A356516 A356517 * A356519 A356520 A356521

Keyword

frac,nonn,hard,more

Author

Patrick A. Thomas, Aug 10 2022

Status

approved