A271880 Decimal expansion of the probability that a random real number is evil.

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

Offset

0,2

Comments

A real number is said to be evil if the cumulative sum of its digits following the decimal point 'hits' the value 666. It is amazing how close this value is to 1/5 (the difference is in A271881).

Links

Stanislav Sykora, Table of n, a(n) for n = 0..2000

Eric Weisstein's World of Mathematics, Evil Number.

Formula

Equals A100061(666)/A100062(666).

Example

0.19999999999999999999999999999999999999999999999999999999999999978337...

Mathematica

RealDigits[SeriesCoefficient[(1 - x^9)/(x^10 - 10 x + 9), {x, 0, 665}], 10, 120][[1]] (* Amiram Eldar, May 24 2023 *)

Prog

(PARI) 0.0 + Vec(Ser((1-x^9)/(x^10-10*x+9), x, 666))[666]

Crossrefs

Cf. A001019, A010734, A100061, A100062, A271881.

Sequence in context: A363021 A099646 A181693 * A180599 A291092 A010734

Adjacent sequences: A271877 A271878 A271879 * A271881 A271882 A271883

Keyword

nonn,cons,base

Author

Stanislav Sykora, Apr 16 2016

Status

approved