Number T(n,k) of colored compositions of n using all colors of a k-set such that all parts have different color patterns and the patterns for parts i have i distinct colors in increasing order; triangle T(n,k), n>=0, min(j:A001787(j)>=n)<=k<=n, read by rows.

A327583

Number T(n,k) of colored compositions of n using all colors of a k-set such that all parts have different color patterns and the patterns for parts i have i distinct colors in increasing order; triangle T(n,k), n>=0, min(j:A001787(j)>=n)<=k<=n, read by rows.

Terms

    a(0) =1a(1) =1a(2) =3a(3) =4a(4) =13a(5) =6a(6) =48a(7) =75a(8) =150a(9) =536a(10) =541a(11) =300a(12) =2820a(13) =6320a(14) =4683a(15) =666a(16) =11144a(17) =50150a(18) =81012a(19) =47293a(20) =936a(21) =41346a(22) =308080a(23) =903210a(24) =1134952a(25) =545835a(26) =1824a(27) =131304a(28) =1689040a(29) =7805080

External references