Total number of colors in all colored integer partitions of n using all colors of an initial interval of the color palette such that each block of part i with multiplicity j has a pattern of i*j colors in (weakly) increasing order.

A326656

Total number of colors in all colored integer partitions of n using all colors of an initial interval of the color palette such that each block of part i with multiplicity j has a pattern of i*j colors in (weakly) increasing order.

Terms

    a(0) =0a(1) =1a(2) =6a(3) =34a(4) =191a(5) =1208a(6) =7840a(7) =54152a(8) =377396a(9) =2868528a(10) =22719712a(11) =187318016a(12) =1594593876a(13) =13795808224a(14) =125535871760

External references