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

A356280

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

Terms

    a(0) =1a(1) =3a(2) =12a(3) =50a(4) =211a(5) =894a(6) =3791a(7) =16068a(8) =68032a(9) =287675a(10) =1214761a(11) =5122428a(12) =21571028a(13) =90718913a(14) =381050570a(15) =1598645263a(16) =6699355413a(17) =28044720813a(18) =117281866330a(19) =489999068614

External references