Number of ballot sequences of length n having 5 largest parts.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =42a(6) =132a(7) =297a(8) =572a(9) =1001a(10) =7644a(11) =38584a(12) =227460a(13) =880668a(14) =3560106a(15) =13136733a(16) =53948258a(17) =260567615a(18) =1322074776a(19) =7132302760a(20) =36927209090a(21) =189472194730a(22) =965322122310