Number of ballot sequences of length n having 8 largest parts.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =1430a(9) =4862a(10) =11934a(11) =25194a(12) =48450a(13) =87210a(14) =149226a(15) =245157a(16) =23761001a(17) =159952925a(18) =1105745355a(19) =4877504775a(20) =21957739245a(21) =79151445945a(22) =291770177400a(23) =934243294725