[seqfan] Re: A125121, A005360.

[Allan Wechsler]

I had a slight feeling that A125121 was basey, and was going to suggest a
base-k analog:

A number n is "sturdy in base q" if there is no multiple kn, the sum of
whose digits in base q falls below the sum of the digits of n in base q.

The sequence base-3 sturdy numbers begins 1, 2, 3, 4, 6 ...

7 is not sturdy in base 3; I haven't figured out 8 but I suspect it isn't
sturdy either.



On Sat, Nov 16, 2013 at 4:03 PM, Charles Greathouse <
charles.greathouse at case.edu> wrote:

> It's not clear whether keyword:base applies to both sequences or to
> neither. (Certainly I agree that the two should be the same in that
> respect.) The Hamming weight itself does not have keyword:base and I agree
> with that here -- although it can be interpreted in a base-specific fashion
> it need not be and it does seem more natural than most base sequences.
> That, in turn, would suggest that perhaps neither of these sequences need
> the keyword. But it's not entirely clear.
>
> Charles Greathouse
> Analyst/Programmer
> Case Western Reserve University
>
>
> On Sat, Nov 16, 2013 at 1:04 AM, L. Edson Jeffery <lejeffery2 at gmail.com
> >wrote:
>
> > Since there is ongoing discussion regarding these two sequences, should
> > A125121 have the keyword "base" since it is the complement of A005360
> which
> > was given that keyword?
> >
> > Ed Jeffery
> >
> > _______________________________________________
> >
> > Seqfan Mailing list - http://list.seqfan.eu/
> >
>
> _______________________________________________
>
> Seqfan Mailing list - http://list.seqfan.eu/
>