[seqfan] Re: A229215 Gosper Curve, major revision or new seq?

Kevin Ryde user42_kevin at yahoo.com.au
Sat Aug 8 10:12:02 CEST 2015


bradklee at gmail.com (Brad Klee) writes:
>
> First of all, Bos has done better than most at defining the function
> using vector notation, which eliminates annoying + and - signs.

If I understand what it refers to, it'd also be from count ternary
1-digits per A062756.  (The middle digit of each rewriting rule advances
by 1.)  Spot of pari,

    A229215(n) = [1,2,3,-1,-2,-3][(-A062756(n-1) % 6)+1];

n-1 is for offset 1 in A229215.  These replication things can go nicely
with first segment counted as 0.  Wouldn't change A229215 now, but could
consider for future similar.

The turn sequence (first differences, interpreted the right way) would
be the terdragon A080846 as cross-referenced in A062756 (and variations
of A080846).



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