A230156 Decimal expansion of the positive real solution of the equation x^(k+1)+x^k-1=0. Case k=8.

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

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=-8.

Links

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

Example

0.9215993196339830062994303152019693942536803842533707898...

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^9 + x^8 - 1, 1] // RealDigits[#, 10, 100]& // First (* Jean-François Alcover, Feb 18 2014 *)

Crossrefs

Cf. A075778, A230151-A230155, A230157, A230158.

Sequence in context: A198984 A118322 A199507 * A225446 A277559 A154993

Adjacent sequences: A230153 A230154 A230155 * A230157 A230158 A230159

Keyword

nonn,cons

Author

Paolo P. Lava, Oct 11 2013

Status

approved