Number of compositions of n with exactly ten 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) =0a(10) =1a(11) =11a(12) =66a(13) =286a(14) =1001a(15) =3003a(16) =8008a(17) =19448a(18) =43758a(19) =92378a(20) =184757a(21) =352727a(22) =646723a(23) =1144484a(24) =1963181a(25) =3276625a(26) =5341050a(27) =8537815a(28) =13454155a(29) =21056035