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

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =4a(5) =10a(6) =21a(7) =39a(8) =70a(9) =125a(10) =229a(11) =435a(12) =859a(13) =1739a(14) =3574a(15) =7384a(16) =15239a(17) =31312a(18) =63968a(19) =129898a(20) =262316a(21) =527169a(22) =1055254a(23) =2105849a(24) =4192933a(25) =8335832a(26) =16557580a(27) =32877010a(28) =65286137a(29) =129695835