[seqfan] Re: Surprising Patterns in Tangent and Secant Numbers
maxale at gmail.com
Tue Nov 10 15:39:23 CET 2009
It appears that 1/cosh(x) can be replaced by an arbitrary function g(x):
serreverse(x*serlaplace(exp(x)*g(x))) = 1/( 1 +
On Tue, Nov 10, 2009 at 2:23 AM, Paul D Hanna <pauldhanna at juno.com> wrote:
> I suppose that the proofs of the main observations in my prior email
> could start with establishing the following identity (in PARI notation):
> = x + x/serreverse(x*serlaplace(1/cosh(x)))
> = 1 + x - x^2 + 3*x^4 - 38*x^6 + 947*x^8 - 37394*x^10 +...
> Is this identity easy to prove?
> Cf. A157308.
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