deletions | additions       diff --git a/section_Input_Output_Sequences_begin__.tex b/section_Input_Output_Sequences_begin__.tex  index 84be8d2..e5c1d44 100644  --- a/section_Input_Output_Sequences_begin__.tex  +++ b/section_Input_Output_Sequences_begin__.tex 
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\frac{\frac{4}{3\sqrt{\pi}}\Gamma(k+3/2)}{\Gamma(k+1)}& 1, -5/4, 325/96, -224125/18432 \\  Catalan(k) & 1,2,14,238,10486,1360142 & ??Featur in A092269\\  1,2,3,1,2,3,1,2,3... & 1,-2,10,-56,328,-1988,12400,...\\  1,2,3,2,3,2,3,2,3... & 1,-2,10,-62,430,-3194,24850,... & A107841 A107841\\  1,2,3,11/3,140/33,...& 1,2,10,72,644 & A177384 \\  (k+1)/k & 2,3,17/2,-349/12,7835/72,-115699/270\\  1,-1,1,-1,1,-1 & 1,1,0,-1,0,2,0,-5,0,14,... & A090192\\  \end{matrix}  We see that $\phi(k)$ and $\lambda(k)$ give the same series which approaches OEIS A007178, until term $4219$. By using $\lambda*=1,1,2,2,4,2,10,\frac{-31}{10}\cdots$, we can achieve A007178. However, this series seems insignificant. The transform may then be close to a desired transform but not perfect, especially for higher terms.