well this one was news to me..pic.twitter.com/8nrF6ZhJV3
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I think your outer powers and parentheses should be for the denominator only, otherwise the (-1) powers are meaningless for two of these.
it's just meant to elucidate the pattern
Hmmm... any illumination if written in terms of zeta functions? I'm away from pen and paper...
ζ(4), β(5), ζ(6)
How's that possible 
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