[seqfan] Re: new dragon conjecture

[Fred Lunnon]

  I spent half-an-hour attempting to decipher this enquiry, before
admitting defeat.
Can anybody interpret the term "spigot difference" ?

  The effort reminded me that I had collected a chunk of stuff about the
4-state
sequence which remains unpublished (including the related Pagoda sequence
picked up by the recent Mathologer post "Secrets of the lost number walls"
at
    https://www.youtube.com/watch?v=NO1_-qptr6c ).

  In particular --- assuming appropriate assignment of integers 1..4 to
states ---
it is conjectured that this bounded integer sequence has optimal
generalised
linear complexity, generating a zero-free number wall.

WFL



On Sun, Mar 17, 2024 at 4:38 PM Kevin Ryde via SeqFan <seqfan at list.seqfan.eu>
wrote:

> brad klee via SeqFan <seqfan at list.seqfan.eu> writes:
> >
> > The upshot is a new (?) definition for the regular
> > paper folding sequence
>
> The key is the bit above the least significant 1 bit.
> Or bit above least significant 0 bit if offset by one.
> There's a couple of bit twiddles which can make a mask
> or similar to help inspect that bit in a given n.
>
> > 4-ary sequence
>
> Alas your download links don't work for me.
> On the off chance you mean a 4 symbol morphism
> which maps to the paperfolding sequence, then:
>
>     A112658, A122002, A125047, A343180
>
> --
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>