Convolution of central binomial coefficients and partition numbers.

Terms

a(0) =1a(1) =3a(2) =10a(3) =33a(4) =113a(5) =397a(6) =1431a(7) =5249a(8) =19514a(9) =73260a(10) =277100a(11) =1054248a(12) =4029859a(13) =15463765a(14) =59531725a(15) =229816430a(16) =889301153a(17) =3448417251a(18) =13396337155a(19) =52126461984a(20) =203124067675a(21) =792559645912