Number of colored integer partitions of n using all colors of an initial interval of the color palette such that parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order.

A327679

Number of colored integer partitions of n using all colors of an initial interval of the color palette such that parts i have distinct color patterns in arbitrary order and each pattern for a part i has i colors in (weakly) increasing order.

Terms

    a(0) =1a(1) =1a(2) =4a(3) =18a(4) =112a(5) =732a(6) =6156a(7) =53720a(8) =559584a(9) =6138216a(10) =76636080a(11) =1006039320a(12) =14693223032a(13) =224774090592

External references