[seqfan] Re: Should A000201 and A026352 be cross-referenced?

[jean-paul allouche]

I guess "divided" = "equally distributed" by addition
jp


Le 13/06/2023 à 18:38, Michel Marcus a écrit :
> I do not understand this part: The 3 gets divided on the next three numbers
> (3,4,5) and they become (4,5,6)
>
> Le mar. 13 juin 2023 à 18:03, Ali Sada via SeqFan <seqfan at list.seqfan.eu> a
> écrit :
>
>> Hi everyone,
>> I was trying the following algorithm:
>> Start with 1. We add 1 to 2 and get a(1) = 3. The 3 gets divided on the
>> next three numbers (3,4,5) and they become (4,5,6). The largest is 6, so,
>> a(2) = 6. Then, we take the 4 and we divide it on the next four numbers
>> (5,6,6,7) and they become (6,7,7,8). The largest is 8, so a(3) = 8, and so
>> on.
>> We get 3, 6, 8, 11, 14, 16, 19, 21, 24, 27, 29, 32, 35,37, 40, 42, 45, 48,
>> 50, 53, 55, 58, 61, 63, 66, 69, 71, 74.
>> This seems to be A026352.
>> If we choose the smallest number after each operation we get
>>
>> 1, 3, 4, 6, 8, 9, 11, 12, 14, 16,17, 19, 21, 22, 24, 25, 27, 29, 30, 32,
>> 33, 35, 37, 38, 40, 42, 43, 45, 46, 48,50
>> Which seems to be A000201
>> Best,
>> Ali
>>
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