Numbers k such that the cumulative sums of the k-th composition in graded reverse lexicographic order ("standard order", see A066099) do not cover all residue classes modulo p for any prime p; i.e., such that (0, x_1, ..., x_1+...+x_j) is an admissible prime tuple pattern, where (x_1, ..., x_j) is the k-th composition.

A387383

Numbers k such that the cumulative sums of the k-th composition in graded reverse lexicographic order ("standard order", see A066099) do not cover all residue classes modulo p for any prime p; i.e., such that (0, x_1, ..., x_1+...+x_j) is an admissible prime tuple pattern, where (x_1, ..., x_j) is the k-th composition.