[r-t] Wraps of Rounds

Mark Davies mark at snowtiger.net
Wed Nov 10 22:48:02 UTC 2004

I wrote,

> On 2N bells, the number of wraps is 1+f(N)+2[f(1)+...+f(N-1)], where
> f(x) = the number of possible place notations on x bells = fibonacci.

Should have said, since sums of Fibonacci series are Fibonacci numbers less
one, this simplifies to:

Wraps on 2N bells = f(N) + 2f(N+1) - 3.

Use the golden ratio to find a closed formula for f(N) if you want. Note
f(N) = fib(N-1).

Changeringing is not just about group theory, hoorah. :-D


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