A220988 The right Aurifeuillian factor of 11^(22n+11) + 1.

407353, 4572972882642803, 109245858982819139102535553, 2812355783638980226466572392952970603, 72895462357781065526518523423275265184080402953, 1890603163831201090586603020695655490130990020251181357603

Offset

0,1

Comments

The corresponding left Aurifeuillian factor is A220987.

Links

Table of n, a(n) for n=0..5.

Wikipedia, Cunningham Project

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) * A220987(n) * a(n).

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}]

Crossrefs

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

Sequence in context: A363160 A210265 A043609 * A357909 A295445 A183705

Adjacent sequences: A220985 A220986 A220987 * A220989 A220990 A220991

Keyword

nonn,easy

Author

Stuart Clary, Dec 27 2012

Status

approved