a(n) = Sum_{k=0..n} k*A349976(n, k).

Terms

a(0) =0a(1) =1a(2) =4a(3) =12a(4) =34a(5) =89a(6) =226a(7) =554a(8) =1328a(9) =3104a(10) =7158a(11) =16235a(12) =36420a(13) =80797a(14) =177789a(15) =387968a(16) =841696a(17) =1814473a(18) =3892920a(19) =8313588a(20) =17686711a(21) =37486091a(22) =79213997a(23) =166888364a(24) =350720648a(25) =735273025a(26) =1538259673a(27) =3211682091a(28) =6693935172a(29) =13928034709