A224751 Expansion of Pi in base 27.

3, 3, 22, 5, 26, 3, 22, 2, 13, 12, 25, 26, 24, 13, 19, 23, 16, 18, 16, 9, 9, 10, 26, 8, 23, 5, 5, 13, 21, 16, 4, 18, 24, 15, 21, 0, 10, 8, 3, 6, 13, 15, 2, 25, 8, 19, 9, 10, 12, 16, 10, 19, 3, 1, 0, 26, 7, 24, 12, 8, 17, 21, 14, 26, 23, 11, 8, 4, 6, 16, 8, 20, 19, 20, 26, 15

Offset: 1

Author

N. J. A. Sloane, Apr 18 2013

Keywords

• nonn
• base
• cons

Comments

It is believed that Pi is normal in every base b. This would imply that the expansion in base 26 (see A224750) or base 27 (this sequence) contains any finite string of text (e.g., the complete works of Shakespeare) infinitely often. See Example section.

See A000796 for a list of sequences giving the expansion of Pi in other bases.

Examples

			Using the encoding 1=a, 2=b, ..., 26=z, 0=space, this begins
ccvezcvbmlyzxmswprpiijzhweemupdrxou jhcfmobyhsijlpjsca zgxlhqunzwkhdfphtstzoprsnu nhawsjlquvbnqpvzqlwwliytpdauuddkzfgmpcu fnwsavktwroffceijqrhtlvuqlqnox mjrjmq sqmqscvymhqwjrzkwqdathn fmwfr fzugxgdjsqpk ckjirtxtiq c crbcntowtvcpywrtlqyuwnrsivl ...
		

Links

• Vincenzo Librandi, Table of n, a(n) for n = 1..5000
• Stan Wagon, Is Pi Normal?
• Wikipedia, Normal Number

Crossrefs

Cf. A000796, A068437, A224750.

Programs

Mathematica

RealDigits[Pi, 27, 75][[1]] (* Robert G. Wilson v, Dec 21 2014 *)

Extensions

Corrected by N. J. A. Sloane, Apr 10 2014