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Template:Sequence of the Day for January 26

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Intended for: January 26, 2013

Timetable

  • First draft entered by Alonso del Arte on April 5, 2012
  • Draft to be reviewed by November 26, 2012
  • Draft to be approved by December 26, 2012

Yesterday's SOTD * Tomorrow's SOTD

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A021030: Decimal expansion of
1
26
.
0.03846153846...
A tool code breakers sometimes use is the index of coincidence,
Ic
. According to cryptanalysis expert Christopher Swenson, “the theoretically perfect
Ic
is if all characters occur the exact same number of times so that none was more likely than any other to be repeated.” For cyphertext encrypted from English text (using an alphabet of 26 letters) of infinite length, this means there exists the infinite limit
n  −  1
26 n  −  1
which by L’Hôpital’s rule works out to
1
26
.