A147715 Late-growing permutations: number of permutations of 17 indistinguishable copies of 1..n with every partial sum <= the same partial sum averaged over all permutations.

1, 129644790, 1914992149823954412750, 3118154713099658349261989389351453752, 1091385182415179567904447175900607727196876211756373000