[seqfan] Recursions in decimal expansions

[Robert Munafo]

On 9/24/12, Maximilian Hasler <maximilian.hasler at gmail.com> wrote:
> 1/7 = .14 28 ... too (which then gets "scrambled" because 56 is
> "overlayed" by the subsequent 112 [emergency...] which however creates
> the should-be initial 7 followed by a new 14 (from [1]12 overlayed by
> 2[24]) and then a new (magically arising) 28 etc.

Of course that's true, and perhaps even more puzzling to consider that
1/7 also gives the powers of 3:

  0.1
+0.03
+0.009
+0.0027
+0.00081
+0.000243
+0.0000729
+0.00002187
+0.000006561
+0.0000019683
+ ...
= SUM_{i=0..oo} 3^i/10^(i+1)
= 1/(10-3) = 1/7 = 0.142857142...

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