a(n) = Sum_{k=0..n} binomial(2*k, k) * p(k), where p(k) is the partition function A000041.

A356269

a(n) = Sum_{k=0..n} binomial(2*k, k) * p(k), where p(k) is the partition function A000041.

Terms

    a(0) =1a(1) =3a(2) =15a(3) =75a(4) =425a(5) =2189a(6) =12353a(7) =63833a(8) =346973a(9) =1805573a(10) =9565325a(11) =49069517a(12) =257289529a(13) =1307750129a(14) =6723491129a(15) =34024174649a(16) =172873744739a(17) =865954792079

External references