# Greetings from The On-Line Encyclopedia of Integer Sequences! http://oeis.org/ Search: id:a039922 Showing 1-1 of 1 %I A039922 #18 Jun 15 2017 22:43:44 %S A039922 1,5,1,42,1,3,24,2,2,1,16,1,11,1,1,2,31,1,12,5,1,7,11,1,4,1,4,2,2,3,4, %T A039922 2,1,1,11,1,41,12,1,8,1,1,1,1,1,9,2,1,5,4,1,25,4,6,11,1,4,1,6,1,1,1,2, %U A039922 2,2,4,11,1,4,1,3,2,8,1,3,3,6,21,11,2,1,1,10,2,1,3 %N A039922 Continued fraction for root of x^5 - x - 1. %H A039922 Harry J. Smith, Table of n, a(n) for n = 0..20000 %H A039922 S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134. %H A039922 S. Lang and H. Trotter, Continued fractions for some algebraic numbers, J. Reine Angew. Math. 255 (1972), 112-134. [Annotated scanned copy] %H A039922 G. Xiao, Contfrac %H A039922 Index entries for continued fractions for constants %e A039922 1.16730397826141868425604589... = 1 + 1/(5 + 1/(1 + 1/(42 + 1/(1 + ...)))). %o A039922 (PARI) { allocatemem(932245000); default(realprecision, 21000); x=NULL; p=x^5 - x - 1; rs=polroots(p); r=real(rs[1]); c=contfrac(r); for (n=1, 20001, write("b039922.txt", n-1, " ", c[n])); } \\ _Harry J. Smith_, May 03 2009 %o A039922 (PARI) contfrac(polrootsreal(x^5-x-1)[1]) \\ _Charles R Greathouse IV_, Apr 14 2014 %Y A039922 Cf. A160155 Decimal expansion. %K A039922 nonn,cofr %O A039922 0,2 %A A039922 _N. J. A. Sloane_ # Content is available under The OEIS End-User License Agreement: http://oeis.org/LICENSE