A230153 Decimal expansion of the positive real solution of the equation x^(k+1)+x^k-1=0. Case k=5.

8, 8, 1, 2, 7, 1, 4, 6, 1, 6, 3, 3, 5, 6, 9, 5, 9, 4, 4, 0, 7, 6, 4, 9, 1, 6, 2, 8, 4, 1, 3, 7, 2, 0, 2, 5, 2, 7, 9, 1, 9, 3, 9, 7, 9, 3, 7, 8, 8, 9, 5, 2, 6, 3, 6, 0, 6, 7, 6, 3, 8, 4, 6, 9, 5, 7, 7, 6, 8, 7, 6, 8, 4, 6, 8, 6, 3, 2, 4, 6, 7, 3, 5, 5, 9, 1, 0

Offset

0,1

Comments

Also decimal expansion of (1+(1+(1+ ... )^(1/k))^(1/k))^(1/k), with k integer and k<0. Case k=-5.

Links

Paolo P. Lava, Table of n, a(n) for n = 0..1000

Example

0.8812714616335695944076491628413720252791939793788952636...

Maple

with(numtheory); P:=proc(q, h) local a, n; a:=(q+1)^(1/h);
for n from q by -1 to 1 do a:=(1+a)^(1/h); od;
print(evalf(a, 1000)); end: P(1000, -5);

Mathematica

Root[x^6 + x^5 - 1, 2] // RealDigits[#, 10, 100]& // First (* Jean-François Alcover, Feb 18 2014 *)

Crossrefs

Cf. A075778, A230151, A230152, A230154-A230158.

Sequence in context: A141134 A176155 A174127 * A091648 A135707 A021923

Adjacent sequences: A230150 A230151 A230152 * A230154 A230155 A230156

Keyword

nonn,cons

Author

Paolo P. Lava, Oct 11 2013

Status

approved