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

Terms

a(0) =1a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =1a(10) =10a(11) =55a(12) =220a(13) =715a(14) =2002a(15) =5005a(16) =11440a(17) =24310a(18) =48621a(19) =92388a(20) =168025a(21) =294260a(22) =498850a(23) =822712a(24) =1327029a(25) =2107325a(26) =3324750a(27) =5280276a(28) =8595025a(29) =14648920