In reply to Pursued by a bear:
> (In reply to Gordon Stainforth) I had a dim recall they were, as of a bell jangling in a distant room. I shall have to go and dig a bit more.
The Fibonacci Series, first 30 steps of:
0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55,
89, 144, 233, 377, 610, 987, 1597, 2584, 4181, 6765,
10946, 17711, 28657, 46368, 75025, 121393, 196418, 317811, 514229, 832040
The Golden Mean (incommensurate/goes to infinity, whatever the word is):
to 9 decimal places: 1.618033988
The ration between each of the Fibonacci numbers in sequence 'homes in' on the Golden Mean:
After 13 steps the ratio has become 233/144 = 1.618; and after 24 steps (46368/28657) it's correct to nine decimal places: 1.618033988
Etc. All very wonderful and mysterious