[seqfan] Re: In the vein of 103314
Chai Wah Wu
cwwuieee at gmail.com
Mon Dec 25 18:21:46 CET 2017
The generating functions for n = 10 and 12 are apparently:
n = 10: (x^8 - 5*x^7 + 21*x^6 - 35*x^5 + 16*x^4 + 15*x^3 + 11*x^2 + 5*x +
1)/(1 - x)^5
n = 12: (x^6 - 5*x^5 + 11*x^4 - 2*x^3 + 23*x^2 + 7*x + 1)/(1 - x)^5 (which
is the same as the crystal ball sequence A143008 except for the second
term).
Chai Wah
On Sat, Dec 23, 2017 at 9:51 AM, Brad Klee <bradklee at gmail.com> wrote:
> Momentarily at a(1), the sequence forgets to visit the origin.
> Thereafter, it returns by a 2n-cycle, a 3m-cycle, or a (2n+3m)-cycle.
> It is really not that different from Crystal Ball sequence A003215.
> --Brad
>
> On Fri, Dec 22, 2017 at 11:50 PM, Chai Wah Wu <cwwuieee at gmail.com> wrote:
>
> > For the case n = 6, the generating function appears to be:
> > (x^4 - 3*x^3 + 4*x^2 + 3*x + 1)/(1 - x)^3
> >
> > Chai Wah
> >
>
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