Number of compositions of n with exactly four occurrences of the largest part.

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =1a(5) =5a(6) =15a(7) =35a(8) =71a(9) =131a(10) =230a(11) =395a(12) =686a(13) =1231a(14) =2316a(15) =4565a(16) =9326a(17) =19466a(18) =41002a(19) =86401a(20) =181231a(21) =377441a(22) =779797a(23) =1598263a(24) =3251522a(25) =6571171a(26) =13204057a(27) =26404654a(28) =52595856a(29) =104445292