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

1,1

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.

Links

Vincenzo Librandi, Table of n, a(n) for n = 1..5000

Stan Wagon, Is Pi Normal?

Wikipedia, Normal Number

Example

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 ...

Mathematica

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

Crossrefs

Cf. A000796, A068437, A224750.

Sequence in context: A214778 A180754 A224091 * A368766 A303228 A255355

Adjacent sequences: A224748 A224749 A224750 * A224752 A224753 A224754

Keyword

nonn,base,cons

Author

N. J. A. Sloane, Apr 18 2013

Extensions

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

Status

approved