Irregular triangle read by rows: coefficients of Laplace transform of a Bernoulli expansion: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[4,1+1/t-x].

A137496

Irregular triangle read by rows: coefficients of Laplace transform of a Bernoulli expansion: LaplaceTransform[t*Exp[x*t]/(Exp[t] - 1), t, 1/t] = Zeta[2,1+1/t-x]->shifted to Zeta[4,1+1/t-x].

Terms

    a(0) =0a(1) =0a(2) =0a(3) =2a(4) =-12a(5) =24a(6) =40a(7) =-240a(8) =240a(9) =0a(10) =1200a(11) =-3600a(12) =2400a(13) =-840a(14) =0a(15) =25200a(16) =-50400a(17) =25200a(18) =0a(19) =-47040a(20) =0a(21) =470400a(22) =-705600a(23) =282240a(24) =80640a(25) =0a(26) =-1693440a(27) =0a(28) =8467200a(29) =-10160640

External references