A230377 The left Aurifeuillian factor of k^k + 1 for k congruent to 0, 2 or 3 (mod 4) and squarefree.

1, 1, 13, 113, 3541, 58367, 2826601, 19231, 113631466919, 9617835527609, 348275601426959, 35522826680397941, 241498479121, 8403855868042458448127, 1161044975606998832441701, 1272844589592126671, 10128165505710094110937686497, 4612290807753604561

Offset

1,3

Comments

The values of k are given by A230375.

Named after the French mathematician Léon-François-Antoine Aurifeuille (1822-1882). - Bernard Schott, Apr 25 2022

Links

Table of n, a(n) for n=1..18.

Richard P. Brent, On computing factors of cyclotomic polynomials, arXiv:1004.5466 [math.NT], 2010.

Eric Weisstein's World of Mathematics, Aurifeuillean Factorization.

Wikipedia, Léon-François-Antoine Aurifeuille.

Wikipedia, Aurifeuillean factorization.

Example

58367 is in the sequence because it is an Aurifeuillian factor of 11^11+1.

Crossrefs

Cf. A230375, A220983, A220984, A230375, A230376, A230378, A230379.

Sequence in context: A127827 A089569 A048383 * A254038 A221369 A320213

Adjacent sequences: A230374 A230375 A230376 * A230378 A230379 A230380

Keyword

nonn

Author

Colin Barker, Oct 17 2013

Status

approved