The result of the integration Integral_{t=0..oo} -rho*exp(-rho*s*t)*t^j*s*log(1+t) dt can be written as (F(u,j)*exp(u)*Ei(1,u) + G(u,j))/u^j, where rho>0, s>0, and u=rho*s. Sequence is the regular triangle corresponding to G(u,j).
A121922
The result of the integration Integral_{t=0..oo} -rho*exp(-rho*s*t)*t^j*s*log(1+t) dt can be written as (F(u,j)*exp(u)*Ei(1,u) + G(u,j))/u^j, where rho>0, s>0, and u=rho*s. Sequence is the regular triangle corresponding to G(u,j).
Terms
- a(0) =-1a(1) =1a(2) =-3a(3) =-1a(4) =4a(5) =-11a(6) =1a(7) =-5a(8) =18a(9) =-50a(10) =-1a(11) =6a(12) =-27a(13) =96a(14) =-274a(15) =1a(16) =-7a(17) =38a(18) =-168a(19) =600a(20) =-1764a(21) =-1a(22) =8a(23) =-51a(24) =272a(25) =-1200a(26) =4320a(27) =-13068a(28) =1a(29) =-9
External references
- oeis: A121922