cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A230154 Decimal expansion of the positive real solution of the equation x^(k+1)+x^k-1=0. Case k=6.

This page as a plain text file.
%I A230154 #16 Oct 15 2024 15:42:43
%S A230154 8,9,8,6,5,3,7,1,2,6,2,8,6,9,9,2,9,3,2,6,0,8,7,5,7,2,2,0,4,6,8,0,5,8,
%T A230154 8,6,2,6,0,4,4,8,2,2,0,0,9,3,4,3,9,6,9,6,6,8,5,5,3,1,5,5,6,5,4,7,3,2,
%U A230154 5,8,4,7,0,1,7,2,1,9,7,8,2,4,6,8,7,6,8
%N A230154 Decimal expansion of the positive real solution of the equation x^(k+1)+x^k-1=0. Case k=6.
%C A230154 Also decimal expansion of (1+(1+(1+ ... )^(1/k))^(1/k))^(1/k), with k integer and k<0. Case k=-6.
%H A230154 Paolo P. Lava, <a href="/A230154/b230154.txt">Table of n, a(n) for n = 0..1000</a>
%F A230154 Equals 1/A230160. - _Hugo Pfoertner_, Oct 15 2024
%e A230154 0.8986537126286992932608757220468058862604482200934396966...
%p A230154 with(numtheory); P:=proc(q,h) local a,n; a:=(q+1)^(1/h);
%p A230154 for n from q by -1 to 1 do a:=(1+a)^(1/h);od;
%p A230154 print(evalf(a,1000)); end: P(1000,-6);
%t A230154 RealDigits[x/.FindRoot[x^7+x^6==1,{x,1},WorkingPrecision->120]][[1]] (* _Harvey P. Dale_, Dec 30 2013 *)
%Y A230154 Cf. A075778, A230151, A230152, A230153, A230155, A230156, A230157, A230158, A230160, A377081.
%K A230154 nonn,cons
%O A230154 0,1
%A A230154 _Paolo P. Lava_, Oct 11 2013