Triangular sequence of coefficients from the 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[3,1+1/t-x].
A137497
Triangular sequence of coefficients from the 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[3,1+1/t-x].
Terms
- a(0) =0a(1) =0a(2) =1a(3) =-3a(4) =6a(5) =6a(6) =-36a(7) =36a(8) =0a(9) =120a(10) =-360a(11) =240a(12) =-60a(13) =0a(14) =1800a(15) =-3600a(16) =1800a(17) =0a(18) =-2520a(19) =0a(20) =25200a(21) =-37800a(22) =15120a(23) =3360a(24) =0a(25) =-70560a(26) =0a(27) =352800a(28) =-423360a(29) =141120
External references
- oeis: A137497