A230161 Decimal expansion of the positive real solution of the equation x^k-x-1=0. Case k=8.

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

Offset

1,3

Comments

Also decimal expansion of (1+(1+(1+ ... )^(1/k))^(1/k))^(1/k), with k integer and k<0. Case k=8.

Links

Paolo P. Lava, Table of n, a(n) for n = 1..1000

Example

1.0969815577985598179082789671675370895925301082127867138...

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, 8);

Mathematica

Root[x^8 - x - 1, 2] // RealDigits[#, 10, 100]& // First (* Jean-François Alcover, Feb 18 2014 *)

Crossrefs

Cf. A001622, A060006, A060007, A160155, A230159, A230160, A230162, A230163.

Sequence in context: A010545 A197506 A225452 * A345288 A019790 A033186

Adjacent sequences: A230158 A230159 A230160 * A230162 A230163 A230164

Keyword

nonn,cons

Author

Paolo P. Lava, Oct 11 2013

Status

approved