[seqfan] Re: Long Transients before Polynomial

[Ron Hardin]

(3^n-1)/2 is probably a good choice, it's up there in total digits where there might be enough to raise the odds it's right.


Likewise the n> field, changed to n>= by adding 1, comes out A038731

Unfortunately I can't get enough points to tell what the k=6 term would be empircally.

We'd predict degree 364 for n>298 from the numerology.


>Empirical for column k:
>k=1: a(n) = 1*n + 1
>k=2: a(n) = (1/24)*n^4 + (1/12)*n^3 + (11/24)*n^2 + (53/12)*n - 6 for n>2
>k=3: [polynomial of degree 13] for n>9
>k=4: [polynomial of degree 40] for n>31
>k=5: [polynomial of degree 121] for n>98

 
rhhardin at mindspring.com
rhhardin at att.net (either)



>________________________________
> From: L. Edson Jeffery <lejeffery2 at gmail.com>
>To: seqfan at list.seqfan.eu 
>Sent: Tuesday, March 25, 2014 5:39 PM
>Subject: [seqfan] Re: Long Transients before Polynomial
> 
>
>Ron,
>
>The first few polynomials are of degree (3*n-1)/2, so maybe they are of
>degree A003462(n)?
>
>Ed Jeffery
>
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