[seqfan] Re: New atomic nuclear sequence found

Brad Klee bradklee at gmail.com
Wed Mar 25 17:43:40 CET 2020

Hi Jess,

Your message from Feb. 2019 did not make very much sense
to me, nor does this message clearly explain what you may have
discovered in mathematical physics.

Atomic physics is an exciting subject, and would benefit the
"multi-facted reach" of OEIS, if genuine connections are found.

My suggestion would be to write up some of your results, have
the write-up positively reviewed one way or another, and if it is
agreeable, link that info via. https://oeis.org/A010000, which
seems to be 1/2 times your sequence.

Mathematical physics is not an easy subject, so it could require
some extra effort on your part and on part of the referees.



On Wed, Mar 25, 2020 at 10:33 AM Jess Tauber <tetrahedralpt at gmail.com> 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
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