[seqfan] Re: Composite Hurwitz Zeta formulas for A007494 & A032766

[Andras]

I've been trying to break down & interrogate the function for the past couple of days to obtain a better understanding of it and found something unrelated to the sequence itself involving the Hurwitz Zeta function so I am putting it here for lack of anywhere else better. 
a(n) = -(1/12)  +  -HurwitzZeta(-1, n)     yields the nth Triangular number as a whole number.(https://i.imgur.com/Ld3e7yC.png for the domain colored plot)

I figured I'd ask before editing the page: Is this following Mathematica snippet worth including on A000217? 
Table[-(1/12)  +  -HurwitzZeta[-1, Z], {Z, 50}] 

   On Saturday, November 11, 2017, 5:26:49 PM EST, Andras <andras at yahoo.com> wrote:  
 
 A293687 and A294921 have been submitted along with their domain colored plots. Feel free to make any modifications you feel are necessary since this is my first time submitting sequences on my own.
 On Friday, November 10, 2017, 3:22:03 AM EST, Neil Sloane <njasloane at gmail.com> wrote:  
 
 Yes, go ahead and submit the two "squared" versions, and if possible upload the nice pictures(or, at least, give links to the pictures - but it would be better for the long term if they were on the OEIS server)
Best regardsNeil 
Neil J. A. Sloane, President, OEIS Foundation.11 South Adelaide Avenue, Highland Park, NJ 08904, USA.Also Visiting Scientist, Math. Dept., Rutgers University, Piscataway, NJ.Phone: 732 828 6098; home page: http://NeilSloane.comEmail: njasloane at gmail.com

On Thu, Nov 9, 2017 at 8:58 PM, Andras via SeqFan <seqfan at list.seqfan.eu> wrote:

I have two composite Hurwitz Zeta function formulas for "Numbers that are congruent to 0 or 2 mod 3." and "Numbers that are congruent to 0 or 1 mod 3." that I thought might be of some interest.

My question is if these 2 sequences merit their own entries (which would be A007494 & A032766 squared & omitting the Sqrt function in the formula) & if so what they should be named, or alternatively if they should instead be included in the formula sections for A007494 & A032766. Here are some domain colored visualizations of the functions: https://i.imgur. com/GGPG2E0.jpg , also, if anyone knows what these types of composite zeta functions are named, that'd be greatly appreciated! 
Mathematica Code:
ζ = HurwitzZeta

A007494 =  Function[{Z},   Sqrt[4 - 9/2 ζ[-1, 2/3 + Z] - 3 ζ[-1, 5/6] +     3 ζ[-1, 4/3] + 9/2 ζ[-1, 5/3] +     3 (-1)^Z ζ[-1, 5/6 + Z/2] -     3 (-1)^Z ζ[-1, 1/6 (2 + 3 Z)]]]
A032766 =  Function[{Z},   Sqrt[9 - 9/2 ζ[-1, 4/3 + Z] - 3 ζ[-1, 7/6] +     3 ζ[-1, 5/3] + 9/2 ζ[-1, 7/3] +     3 (-1)^Z ζ[-1, 7/6 + Z/2] -     3 (-1)^Z ζ[-1, 1/6 (4 + 3 Z)]]]
Table[N[A007494[n]], {n, 0, 25}]
Table[N[A032766[n]], {n, 0, 25}]

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