[seqfan] Re: square loop generalised to power loop

William Marshall w.r.marshall at actrix.co.nz
Thu Oct 31 03:32:03 CET 2019


Shortest power loops: https://oeis.org/A115418

On 30/10/19 6:07 AM, hv at crypt.org wrote:

> Earlier I wrote:
> :Neil Fernandez <primeness at borve.org> wrote:
> ::Another sequence is
> ::
> ::a(n):= smallest k such that {1, 2 ,..., k} can be arranged in a loop in
> ::which every consecutive pair sums to an nth power
> ::
> ::The sequence begins 1, 32, ...
> :
> :This seems to be the main one that's missing; I'll have a go at finding
> :more terms for this in a week (when I return from a trip) - I think it
> :should actually be easier than A304120.
>
> First loop for cubes can be found at n=473, eg:

[...]

>
> Looking for quads now.
>
> Hugo
>
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>



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