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A230162
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Decimal expansion of the positive real solution of the equation x^k-x-1=0. Case k=9.
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3
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1, 0, 8, 5, 0, 7, 0, 2, 4, 5, 4, 9, 1, 4, 5, 0, 8, 2, 8, 3, 3, 6, 8, 9, 5, 8, 6, 4, 0, 9, 7, 3, 1, 4, 2, 3, 4, 0, 5, 0, 6, 5, 3, 6, 3, 1, 0, 3, 0, 8, 9, 6, 5, 8, 1, 4, 6, 8, 6, 1, 5, 5, 3, 3, 3, 6, 5, 1, 8, 0, 4, 9, 9, 4, 0, 1, 1, 5, 7, 1, 9, 9, 7, 4, 1, 9, 3
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OFFSET
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1,3
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COMMENTS
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Also decimal expansion of (1+(1+(1+ ... )^(1/k))^(1/k))^(1/k), with k integer and k<0. Case k=9.
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LINKS
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EXAMPLE
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1.0850702454914508283368958640973142340506536310308965814...
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MAPLE
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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);
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MATHEMATICA
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RealDigits[x/.FindRoot[x^9-x-1==0, {x, 1}, WorkingPrecision->100]][[1]] (* Harvey P. Dale, Jul 31 2017 *)
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CROSSREFS
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KEYWORD
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AUTHOR
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STATUS
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approved
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