A triangular sequence of coefficients from a Laplace Transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[5,1+1/t-x].

A137498

A triangular sequence of coefficients from a Laplace Transform of a Bernoulli expansion function: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[5,1+1/t-x].

Terms

    a(0) =0a(1) =0a(2) =0a(3) =0a(4) =6a(5) =-60a(6) =120a(7) =300a(8) =-1800a(9) =1800a(10) =0a(11) =12600a(12) =-37800a(13) =25200a(14) =-11760a(15) =0a(16) =352800a(17) =-705600a(18) =352800a(19) =0a(20) =-846720a(21) =0a(22) =8467200a(23) =-12700800a(24) =5080320a(25) =1814400a(26) =0a(27) =-38102400a(28) =0a(29) =190512000

External references