A220987 The left Aurifeuillian factor of 11^(22n+11) + 1.

58367, 3812903020530517, 107454987376543082369146967, 2808133028073215608147547774721982717, 72885505321551844061773948114862247606146502767, 1890579685660625069233746109183146734516524279847333062117

Offset: 0

Author

Stuart Clary, Dec 27 2012

Keywords

• nonn
• easy

Comments

The corresponding right Aurifeuillian factor is A220988.

Links

• Wikipedia, Cunningham Project

Crossrefs

Cf. A092440, A085601, A220978, A198410, A220979-A220990.

Programs

Mathematica

Table[z = 11^n; 161051 z^10 - 161051 z^9 + 73205 z^8 - 14641 z^7 - 1331 z^6 + 1331 z^5 - 121 z^4 - 121 z^3 + 55 z^2 - 11 z + 1, {n, 0, 10}]

Formula

a(n) = 161051 z^10 - 161051 z^9 + 73205 z^8 - 14641 z^7 - 1331 z^6 + 1331 z^5 - 121 z^4 - 121 z^3 + 55 z^2 - 11 z + 1 with z = 11^n.

Aurifeuillian factorization: 11^(22n+11) + 1 = (11^(2n+1) + 1) * a(n) * A220988(n).