login
Expansion of Pi in base 27.
3

%I #31 Dec 14 2017 02:47:34

%S 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,

%T 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,

%U 3,1,0,26,7,24,12,8,17,21,14,26,23,11,8,4,6,16,8,20,19,20,26,15

%N Expansion of Pi in base 27.

%C 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.

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

%H Vincenzo Librandi, <a href="/A224751/b224751.txt">Table of n, a(n) for n = 1..5000</a>

%H Stan Wagon, <a href="http://pi314.at/math/normal.html">Is Pi Normal?</a>

%H Wikipedia, <a href="http://en.wikipedia.org/wiki/Normal_number">Normal Number</a>

%e Using the encoding 1=a, 2=b, ..., 26=z, 0=space, this begins

%e ccvezcvbmlyzxmswprpiijzhweemupdrxou jhcfmobyhsijlpjsca zgxlhqunzwkhdfphtstzoprsnu nhawsjlquvbnqpvzqlwwliytpdauuddkzfgmpcu fnwsavktwroffceijqrhtlvuqlqnox mjrjmq sqmqscvymhqwjrzkwqdathn fmwfr fzugxgdjsqpk ckjirtxtiq c crbcntowtvcpywrtlqyuwnrsivl ...

%t RealDigits[Pi, 27, 75][[1]] (* _Robert G. Wilson v_, Dec 21 2014 *)

%Y Cf. A000796, A068437, A224750.

%K nonn,base,cons

%O 1,1

%A _N. J. A. Sloane_, Apr 18 2013

%E Corrected by _N. J. A. Sloane_, Apr 10 2014