Find the rule and continue this sequence of digits:
1235813941213533488671216141383377554...
Is there a limit to the number of times in a row a digit can appear?
(In reply to
the solution by phi)
Phi, I concur.
I saw a Fibonacci connection which failed. I lined up my digits
across a row of Excel cells and relooked at the digits. What may
not be immediately obvious is that only single digits are added.
When the sum becomes 2 digits, these are recorded as single digits at
the growing end of the sequence. Note too, that Phi's
series of 4 1's conveniently comes just at the end of Jer's
sequence (naughty).
Phi once I realised the 4 * 1's, I knew that I had gotten
there. I also realised that I would get no more that 4 ones in a
row, but I hadn't considered whether I could get 4 twos.
Reckon that you've rounded this up quite well.
|
Posted by brianjn
on 2005-06-28 12:20:34 |