[seqfan] Re: New atomic nuclear sequence found
Jess Tauber
tetrahedralpt at gmail.com
Wed Mar 25 19:34:24 CET 2020
Thank you- I'll have to recheck to see whether I got the first term wrong.
Jess
On Wed, Mar 25, 2020 at 2:32 PM <israel at math.ubc.ca> wrote:
> It appears that except for the first term, your sequence is A255843.
>
> Cheers,
> Robert
>
> On Mar 25 2020, Jess Tauber wrote:
>
> >Hi folks- some years back I had been briefly active in the group, even
> >posting about the presence in nuclear shell structures the OEIS sequence
> >A051890 <https://oeis.org/A051890>, which links the counts of nucleons
> >having parallel suborbital designations though in different shells.
> >
> >This past week I've been revisiting these issues after a long hiatus, and
> >have found another sequence attested for such connections: 2, 6, 12, 22,
> >36, 54, 76, 102, 132, 166, 204, 246...
> >
> >While A051890 is formed by summed pairs of every other doubled triangular
> >number, this new sequence, which isn't in the OEIS database, is formed
> from
> >summed pairs of every THIRD doubled triangular number.
> >
> >The basic sequence found in spherical nuclei, under a simple harmonic
> >oscillator model (where shell sizes are always consecutive terms of Pascal
> >Triangle diagonals) consists of doubled triangular numbers, and the
> >connections between like suborbital designations are all half/doubled
> >square numbers, which are produced by taking summed pairs of every
> >consecutive doubled triangular number.
> >
> >Depending on how one configures tables of shell structures, one can see
> ALL
> >THREE mathematical patterns outlined above. It makes things a LOT more
> >interesting than a mere one-size-fits-all scenario.
> >
> >Jess Tauber
> >
> >--
> >Seqfan Mailing list - http://list.seqfan.eu/
> >
> >
>
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