[seqfan] Re: A conjecture of George Beck about A008484
Martin Fuller
martin_n_fuller at btinternet.com
Fri Aug 18 15:11:32 CEST 2023
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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