[seqfan] Re: 2*A087483(n) = A053799(n+1) ?

Max Alekseyev maxale at gmail.com
Wed Dec 4 23:42:49 CET 2013


Antill,
Nice catch!
The g.f. for A087483 can be easily proved from the given formula.
In fact, A087483(n) = A000212(n+1) + 1.
Max

On Wed, Dec 4, 2013 at 1:57 PM, Antti Karttunen
<antti.karttunen at gmail.com> wrote:
> While searching for something else, I came upon these two:
>
> http://oeis.org/A087483
> "Row 0 of the order array of 3/2, i.e. row 0 of the transposable
> dispersion in A087465, hence column 0 of the transposable dispersion
> in A087468."
>
> http://oeis.org/A053799
> "Number of basis partitions of n+9 with Durfee square size 3."
>
> Is it true that 2*A087483(n) =  A053799(n+1) ?
> (For example, by their GF's. Note however, that in the other one it is
> only "empirical".)
>
>
>
> Yours,
>
> Antti Karttunen
>
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>
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