Benedict Irwin edited section_Input_Output_Sequences_begin__.tex  over 8 years ago

Commit id: 3924d4aaca1d43f23dfa98c1acc6bf4a413b5ff6

deletions | additions      

       

\zeta(k+1) & \zeta(2),-\zeta(2)\zeta(3),\zeta(2)\zeta(3)(\zeta(4) + \zeta(3)),-\zeta(2)\zeta(3)(\frac{7}{6}\zeta(8) + \zeta(3)^2 + \zeta(4)(2\zeta(2)+\zeta(5))) \\  f(k)& f(1), \\&-f(1)f(2), \\&f(1)f(2)(f(2)+f(3)), \\&-f[1]f[2](f[2]^2 + 2f[2]f[3] + f[3](f[3]+f[4])), \\& f(1)f(2)( f(2)^3 + 3f(2)^2f(3) + f(2)f(3)(3f(3)+2f(4))+f(3)(f(3)^2 + 2f(3)f(4) + f(4)(f(4)+f(5))))\\  \phi(k)&1,-1,3,-13,75,-525,4219,-38141 & A007178??\\  \beta(k,k+1) & \frac{1}{2},-\frac{1}{24},\frac{1}{240},\frac{-169}{403200},\frac{42851}{1016064000} \frac{1}{2},-\frac{1}{24},\frac{1}{240},\frac{-169}{403200},\frac{42851}{1016064000}\\  \frac{\Gamma(k+1)}{\Gamma(k+2)}& \frac{1}{2}, \frac{-1}{6},\frac{7}{72}, -\frac{281}{4320}, \\  \frac{\Gamma(k+2)}{\Gamma(k+1)}& 2,-6,42,-414,5058,-72486,1182762,-21573054 & A115974 (more QED)\\  \end{matrix}  w x^2 instead 1,2,4,6,8