A144746 a(n) = a(n-1)^2 - a(n-1) - 1, a(0)=6.

6, 29, 811, 656909, 431528777371, 186217085698878552894269, 34676803006183479266409218250231853558140150091, 1202480666729655584789949373132702064208272454072740050128160074167965751208292536045867158189

Offset: 0

Author

Artur Jasinski, Sep 20 2008

Keywords

• nonn

Comments

a(0)=3 is the smallest integer generating an increasing sequence of the form a(n) = a(n-1)^2 - a(n-1) - 1, cf. A144743.

Crossrefs

Cf. A000058, A082732, A144743, A144744, A144745, A144747, A144748.

Programs

Mathematica

NestList[#^2-#-1&,6,8]  (* Harvey P. Dale, Jan 22 2011 *)

PARI

a(n, s=6)={for(i=1, n, s=s^2-s-1);s} \\ M. F. Hasler, Oct 06 2014

Formula

a(n) = a(n-1)^2 - a(n-1) - 1 and a(0)=6.

a(n) ~ c^(2^n), where c = 5.33565954034691307256446890777476398311129407641143635105306409567572... . - Vaclav Kotesovec, May 06 2015

Extensions

Corrected and edited by M. F. Hasler, Oct 06 2014