a(n) = Sum_{i+j+k=n, 0<=i<=j<=k<=n} (n+2j)!/(i! * (3j)! * k!).

A092469

a(n) = Sum_{i+j+k=n, 0<=i<=j<=k<=n} (n+2j)!/(i! * (3j)! * k!).

Terms

    a(0) =1a(1) =1a(2) =13a(3) =91a(4) =1081a(5) =10606a(6) =181189a(7) =2025325a(8) =38378449a(9) =548523856a(10) =10811257051a(11) =176339404099

External references