Number of terms in n-th derivative of a function composed with itself 10 times.

Terms

a(0) =1a(1) =1a(2) =10a(3) =55a(4) =265a(5) =1045a(6) =3817a(7) =12583a(8) =39148a(9) =114235a(10) =318857a(11) =850576a(12) =2190850a(13) =5451721a(14) =13184711a(15) =31023842a(16) =71286349a(17) =160139911a(18) =352574213a(19) =761567304a(20) =1616713932a(21) =3376143283a(22) =6944345483a(23) =14080091227a(24) =28169087367a(25) =55644767253a(26) =108617341172a(27) =209626751905