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This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

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A356518 Maximal numerators in approximations to the Aurifeuillian factors of p^p +- 1.

Original entry on oeis.org

2, 28, 1706, 25082, 816634, 157704814
Offset: 1

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Author

Patrick A. Thomas, Aug 10 2022

Keywords

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).

Examples

			The r(n) are 2/3, 28/45, 1706/2835, 25082/42525, 816634/1403325, ...

Crossrefs

Cf. A356519 (denominators), A352711, A352732, A352400, A352401.
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