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A230157 Decimal expansion of the positive real solution of the equation x^(k+1)+x^k-1=0. Case k=9. 3
9, 2, 9, 5, 7, 0, 1, 2, 8, 2, 3, 2, 0, 2, 2, 8, 6, 4, 2, 0, 4, 4, 1, 3, 0, 3, 6, 9, 1, 4, 4, 6, 4, 1, 2, 5, 4, 3, 5, 3, 2, 5, 8, 5, 3, 0, 0, 2, 0, 2, 4, 8, 3, 3, 6, 3, 0, 2, 0, 5, 5, 4, 5, 2, 1, 5, 0, 9, 8, 7, 8, 5, 3, 0, 6, 5, 4, 2, 7, 2, 6, 2, 1, 3, 5, 0, 7 (list; constant; graph; refs; listen; history; text; internal format)
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=-9.

LINKS

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

EXAMPLE

0.9295701282320228642044130369144641254353258530020248336...

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, -9);

MATHEMATICA

Root[x^10 + x^9 - 1, 2] // RealDigits[#, 10, 100]& // First (* Jean-Fran├žois Alcover, Feb 18 2014 *)

CROSSREFS

Cf. A075778, A230151-A230156, A230158.

Sequence in context: A217626 A275362 A217174 * A260646 A200234 A242743

Adjacent sequences:  A230154 A230155 A230156 * A230158 A230159 A230160

KEYWORD

nonn,cons

AUTHOR

Paolo P. Lava, Oct 11 2013

STATUS

approved

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Last modified November 17 03:06 EST 2019. Contains 329216 sequences. (Running on oeis4.)