Typo in A001047
Jon Perry
perry at globalnet.co.uk
Fri Aug 30 21:05:43 CEST 2002
My basic point is that:
> a(n) = 3*(a(n-1)-1) + 2^n.
is incorrect.
My technique for the analysis of the Collatz function works via the
recurrence relation:
a_i+1 = [3(a_i) + 1]/2
and this leads immediately to the generating function I use and supplied.
> a(n) = 5 a(n-1) - 6 a(n-2)
is surely also worth a mention, however I think the 3^n-2^n form is the
simplest.
Jon Perry
perry at globalnet.co.uk
http://www.users.globalnet.co.uk/~perry/maths
BrainBench MVP for HTML and JavaScript
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