Number of free pure symmetric multifunctions (with empty expressions allowed) with one atom, n positions, and no unitary parts (subexpressions of the form x[y]).

A303022

Number of free pure symmetric multifunctions (with empty expressions allowed) with one atom, n positions, and no unitary parts (subexpressions of the form x[y]).

Terms

    a(0) =1a(1) =1a(2) =1a(3) =2a(4) =5a(5) =12a(6) =27a(7) =63a(8) =152a(9) =376a(10) =939a(11) =2371a(12) =6047a(13) =15577a(14) =40429a(15) =105637a(16) =277625a(17) =733518a(18) =1947126a(19) =5190503a(20) =13888811a(21) =37291968a(22) =100444019a(23) =271316998a(24) =734802247a(25) =1994873116a(26) =5427893149a(27) =14799525982a(28) =40429761365a(29) =110645688034

External references