a(n) = Sum_{k=0..n} binomial(2*n, n-k) * v(k), where v(k) is the number of overpartitions of n (A015128).
A356289
a(n) = Sum_{k=0..n} binomial(2*n, n-k) * v(k), where v(k) is the number of overpartitions of n (A015128).
Terms
- a(0) =1a(1) =4a(2) =18a(3) =82a(4) =372a(5) =1676a(6) =7500a(7) =33358a(8) =147570a(9) =649722a(10) =2848524a(11) =12441434a(12) =54155774a(13) =235008672a(14) =1016971480a(15) =4389589484a(16) =18902538548a(17) =81222609020a(18) =348308661820
External references
- oeis: A356289