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

Author

Nicholas C. Firth, Apr 13 2011

Keywords

• nonn
• base
• cons

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!

Examples

			0.01102111002022113000102000210222212212...
		

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

Programs

Mathematica

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