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A230156
Decimal expansion of the positive real solution of the equation x^(k+1)+x^k-1=0. Case k=8.
4
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
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
KEYWORD
nonn,cons
AUTHOR
Paolo P. Lava, Oct 11 2013
STATUS
approved