A230159 Decimal expansion of the positive real solution of the equation x^k-x-1=0. Case k=6.

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

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=6.

Links

Paolo P. Lava, Table of n, a(n) for n = 1..1000 (corrected by Sean A. Irvine)

Example

1.1347241384015194926054460545064728402796672263828014859...

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, 6);

Mathematica

Root[x^6 - x - 1, 2] // RealDigits[#, 10, 100]& // First (* Jean-François Alcover, Feb 18 2014 *)

Crossrefs

Cf. A001622, A060006, A060007, A160155, A230160-A230163.

Sequence in context: A166043 A294896 A021292 * A105828 A209873 A130880

Adjacent sequences: A230156 A230157 A230158 * A230160 A230161 A230162

Keyword

nonn,cons

Author

Paolo P. Lava, Oct 11 2013

Status

approved