A232092 Decimal expansion of the real root of x^2013 - x - 1 = 0.

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

Offset

1,5

Links

Table of n, a(n) for n=1..106.

Formula

Approximately 1 + (log 2)/2013. - Charles R Greathouse IV, Nov 27 2013

Example

1.00034448028636...

Maple

Digits:= 200:
fsolve((arcsinh@@2)(x^2013 -x -1));  # Alois P. Heinz, Nov 29 2013

Mathematica

FindRoot[-1 - x + x^2013 == 0, {x, 0.896226, 1.09623}, WorkingPrecision -> 15]

Prog

(PARI) solve(x=0.896226, 1.09623, x^2013-x-1) \\ Michel Marcus, Nov 27 2013

Crossrefs

Sequence in context: A213509 A112180 A058559 * A345196 A185271 A352285

Adjacent sequences: A232089 A232090 A232091 * A232093 A232094 A232095

Keyword

nonn,cons,less

Author

Jake Lai, Nov 18 2013

Status

approved