[seqfan] Re: Very nice new sequence A329126 [1, 6, 42, 60, 139810, 126, ...]

Peter Munn techsubs at pearceneptune.co.uk
Tue Nov 9 10:33:52 CET 2021


On Tue, November 9, 2021 6:34 am, Don Reble via SeqFan wrote:
> Seqfans:
>
>> %S A329126 1,110,101010,111100,100010001000100010,1111110
>> %N a(n) is the lexicographically earliest string of digits which
>>    yields a multiple of n when read in any numeric base.
>
>     Does the author really mean "lexicographically earliest"?

Definitely not, I would think. His original name was "Smallest nonzero
numbers that are divisible by n when read in any numeric base".
"Lexicographically" was suggested by an OEIS editor following revision #9.

Best regards,

Peter

>     There are many candidates for a(2): 110, 1010, 10010, 100010, ...,
>     Each is divisible by 2 in any base. Lexicographically,
>     each is earlier than the previous, and there is no earliest.
>
>     I think he means simply "the least positive integer which yields
>     a multiple...".
[...]





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