A230376 The left Aurifeuillian factor of k^k - 1 for k congruent to 1 (mod 4) and squarefree.

11, 1803647, 2699538733, 30778903, 112663560435723374699, 554945667652531, 6243610407478181159725577611, 67643278270835231300426724641533, 253382315888712050791030544452181354268272663, 14710826638296122001733445931451

Offset

1,1

Comments

The values of k are given by A005117, except for the leading 1.

Named after the French mathematician Léon-François-Antoine Aurifeuille (1822-1882). - Bernard Schott, Apr 13 2022

Links

Table of n, a(n) for n=1..10.

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

1803647 is in the sequence because it is an Aurifeuillian factor of 13^13-1.

Crossrefs

Cf. A005117, A220983, A220984, A230375, A230377, A230378, A230379.

Sequence in context: A156670 A116061 A013858 * A352711 A358155 A083443

Adjacent sequences: A230373 A230374 A230375 * A230377 A230378 A230379

Keyword

nonn

Author

Colin Barker, Oct 17 2013

Status

approved