[seqfan] Re: less?

Sean A. Irvine sairvin at gmail.com
Tue Dec 17 08:26:16 CET 2019


Yes please add this,  I too am surprised that it is not already present.


On Tue, 17 Dec 2019 at 20:09, jnthn stdhr <jstdhr at gmail.com> wrote:

> Hi all.
>
> If I haven't made some tremendously boneheaded mistake, I'm a bit surprised
> this sequence isn't in the db, so I can't decide if it should be added, or
> if it's an example of one deserving of the keyword less.
>
> a(n) is the sum of the even positive integers less than or equal to n times
> the sum of the odd positive integers less than or equal to n.
>
> Assuming the null set has a value of zero, this is:
>
> 0,0,2,8,24,54,108,192,...
>
> Many sequences are related, of course.  Superseeker doesn't find this exact
> sequence, but lists many transformations that match.
>
> -First differences for n>=2,  = A5996.
>
> -For even n, a(n) = A179824.
>
> -For odd n, a(n) = A085537.
>
> -a(n)/2 = A007009.
>
> And more.
>
> Should I add this?
>
> P.S.
> This is the number of crossings if one draws n parallel lines perpendicular
> to the previous number of lines.
>
> --
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>



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