[math-fun] Swiss 10 Fr note
A correspondent just sent the following - any comments anyone? NJAS
The Swiss 10 Fr note has some graphs on it that are accompanied by what appears to be a partial list of the zeroes:
43, 53, 70, 86, 113, 140, 183, 226, 296.
There is reason to think from the graphs that these values are actually integer parts of a sequence that goes to 0 in one direction and infinity in the other. At any rate, your numerical sequences web site fanned on this sequence and I was curious if you know anything about it. One point: the sequence seems to be spliced together from two sequences (since the odd numbered terms are in one color and the even numbered ones in another) and in each of the sequences, the ratio of successive terms is suspiciously close to the golden ratio. Actually, I just noticed that each odd numbered term is the sum of the two preceding odd numbered terms, but this is not quite true of the even numbered ones.
Michael Barr
participants (1)
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N. J. A. Sloane