[seqfan] Re: Integer ratios between asinh at integer arguments

Gottfried Helms helms at uni-kassel.de
Sat Mar 16 02:04:38 CET 2013


Am 16.03.2013 00:19 schrieb israel at math.ubc.ca:
> What's going on here is that T_n(i sinh(x)) = i^n sinh(n x) for odd 
> integers n and i^n cosh(n x) for even integers n, where T_n is the n'th 
> Chebyshev polynomial of the first kind.
> 
Ah, so the connecting/unifying aspect of that sequences should be
that of the Chebyshev - polynomials? That Chebyshev-polynomials
are mentioned in some, but not all of the related sequences - perhaps
one could brush this up?

Gottfried Helms




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