A188921 Expansion of the fractional part of Pi in base Pi.

0, 1, 1, 0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 1, 1, 3, 0, 0, 0, 1, 0, 2, 0, 0, 0, 2, 1, 0, 2, 2, 2, 2, 1, 2, 2, 1, 2, 0, 2, 0, 1, 2, 1, 2, 0, 2, 0, 0, 0, 0, 0, 1, 2, 2, 2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 0, 2, 2, 1, 1, 0, 0, 2, 2, 1, 0, 0, 2, 0, 0, 1, 0, 1, 0, 2, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 2, 2, 0, 2, 0, 2, 1, 1, 0, 1, 2, 1, 2, 2, 2, 1, 2, 2, 2, 1, 0, 0, 0, 1

Offset

0,5

Comments

The program (see link below) used to calculate this should guarantee enough accuracy. It is not a fast algorithm though, but it served its purpose!

Links

Nicholas C. Firth, Table of n, a(n) for n = 0..9999

Nicholas C. Firth, C++ code to generate terms

Wikipedia, Non-integer representation

Example

0.01102111002022113000102000210222212212...

Mathematica

RealDigits[Pi - 3, Pi, 100, -1][[1]] (* T. D. Noe, Apr 14 2011 *)

Crossrefs

Sequence in context: A054973 A030351 A257994 * A334568 A072617 A348541

Adjacent sequences: A188918 A188919 A188920 * A188922 A188923 A188924

Keyword

nonn,base,cons

Author

Nicholas C. Firth, Apr 13 2011

Status

approved