a(n) = Sum_{k=0..n} k*A000009(k).

Terms

a(0) =0a(1) =1a(2) =3a(3) =9a(4) =17a(5) =32a(6) =56a(7) =91a(8) =139a(9) =211a(10) =311a(11) =443a(12) =623a(13) =857a(14) =1165a(15) =1570a(16) =2082a(17) =2728a(18) =3556a(19) =4582a(20) =5862a(21) =7458a(22) =9416a(23) =11808a(24) =14736a(25) =18286a(26) =22576a(27) =27760a(28) =33976a(29) =41400