[seqfan] Re: A conjecture of George Beck about A008484

[Allan Wechsler]

That certainly looks sound to me. Can you add it to the entry?

On Fri, Aug 18, 2023 at 9:18 AM Martin Fuller via SeqFan <
seqfan at list.seqfan.eu> wrote:

> 3 * (number of ones) = 2 * (number of parts)
> <=> 3 * (number of ones) = 2 * ((number of ones) + (number of parts >= 2))
> <=> Number of ones = 2 * (number of parts >= 2)
>
> Remove all the ones and increase each other part by 2.  This gives a
> partition with the same total in which all parts >= 4.
> Vice versa, decrease each part >= 4 by 2, and add 2 ones for each reduced
> part.
>
>
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