Total number of colors used in all colored integer partitions of n using all colors of an initial interval of the color palette such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order.

A327115

Total number of colors used in all colored integer partitions of n using all colors of an initial interval of the color palette such that all parts have different color patterns and a pattern for part i has i distinct colors in increasing order.

Terms

    a(0) =0a(1) =1a(2) =4a(3) =19a(4) =98a(5) =570a(6) =3642a(7) =25292a(8) =189454a(9) =1519648a(10) =12978141a(11) =117437020a(12) =1121299471a(13) =11256640012a(14) =118443403699

External references