[seqfan] Re: The gerrymandering sequence A341578 needs better explanation

[Jack Grahl]

I think the confusing part is the 'grid'. This has essentially nothing to
do with geometry.

Given n districts, each with n votes, what is the least number of total
votes which allows a party to win a majority of the districts?

The districts are winner-takes-all, and for an even number of districts,
it's enough to win half the districts, and tie in one further district.

So for 5 districts of 5 votes, one party could theoretically win with 3
votes in each of 3 districts, and 0 in all other districts. For 8
districts, 5 votes in each of 4 districts, and 4 votes in a fifth district
is enough.

On Fri, 26 Feb 2021, 10:47 Neil Sloane, <njasloane at gmail.com> wrote:

> Typo, sorry. I meant to say:
>
> Dear Sequence Fans,  I had another look at A341578.  I accepted it because
> some of the editors looked at it, and "gerrymandering" is an extremely
> important topic.  But after looking at it more closely, I admit I don't
> really understand the sequence.  Could someone explain the definition more
> clearly?
>
>
> On Fri, Feb 26, 2021 at 4:49 AM Neil Sloane <njasloane at gmail.com> wrote:
>
> >
> > Dear Sequence Fans,  I had another look at A3415678.  I accepted it
> > because some of the editors looked at it, and "gerrymandering" is an
> > extremely important topic.  But after looking at it more closely, I
> admit I
> > don't really understand the sequence.  Could someone explain the
> definition
> > more clearly?
> >
>
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