a(n) = Sum_{k=0..n} binomial(2*k, k) * q(k), where q(k) is the number of partitions into distinct parts (A000009).

A356270

a(n) = Sum_{k=0..n} binomial(2*k, k) * q(k), where q(k) is the number of partitions into distinct parts (A000009).

Terms

    a(0) =1a(1) =3a(2) =9a(3) =49a(4) =189a(5) =945a(6) =4641a(7) =21801a(8) =99021a(9) =487981a(10) =2335541a(11) =10800725a(12) =51363065a(13) =238573865a(14) =1121139065a(15) =5309312105a(16) =24543884585a(17) =113220920945a(18) =530677144745

External references