a(n) = Sum_{k=0..n} k*A002893(k).

Terms

a(0) =0a(1) =3a(2) =33a(3) =312a(4) =2868a(5) =26133a(6) =237147a(7) =2146992a(8) =19409064a(9) =175287597a(10) =1581968247a(11) =14270061192a(12) =128673729492