[seqfan] Re: A171942 = A057168(n) - n?

Maximilian Hasler maximilian at hasler.fr
Wed Jan 1 14:50:53 CET 2014

The "forward Van Eck transform" is the sequence of gaps to the next term
with equal value:
FVE(a) = n -> min { m>0 | a(n+m)=a(n) }
with the (exceptional) convention that : min {} = 0.
(See e.g. https://oeis.org/A171898)

So your observation is exactly the definition.

Best wishes again,

On Tue, Dec 31, 2013 at 8:12 PM, Marc LeBrun <mlb at well.com> wrote:
> Inspired by Peter's "bit fiddlers" thread I calculated A057168(n) - n (the
> difference between n and the next number with the same binary weight) and
> matches A171942 "Forwards Van Eck transform of A000120" (the weight of n).
> Not understanding this Van Eck transform I wonder if anyone can enlighten
> me: is this obvious or, perhaps, a somewhat interesting self-similarity?
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