[seqfan] Interesting Thor-Muse sequence observation...

Alex M timeroot.alex at gmail.com
Sat Aug 14 03:32:18 CEST 2010


Take the Thor-Muse sequence:
-Interpret it as number in base-phi (golden ratio).
-Simplify the expansion; call this sequence S.
-Create a new sequence, consisting of distance between successive 1's in S.
-Remove the first term.
-Divide each term by 2.
You get A007413!

This could probably be proven by looking at the the way each group of 8 or
so in the Thor-Muse sequence gets transformed, but I think it's pretty
surprising still.
-Alex Meiburg

~6 out of 5 statisticians say that the number of statistics that either make
no sense or use ridiculous timescales at all has dropped over 164% in the
last 5.62474396842 years.



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