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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =1a(7) =7a(8) =28a(9) =84a(10) =210a(11) =462a(12) =925a(13) =1723a(14) =3038a(15) =5145a(16) =8498a(17) =13930a(18) =23143a(19) =39859a(20) =72500a(21) =140266a(22) =286678a(23) =609217a(24) =1323197a(25) =2897511a(26) =6339636a(27) =13787488a(28) =29726648a(29) =63472185