A271880 - OEIS

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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

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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