A147717 Late-growing permutations: number of permutations of 18 indistinguishable copies of 1..n with every partial sum <= the same partial sum averaged over all permutations.

1, 477638700, 46295775130831740013500, 693090538757877947419844421229560759330, 2879839278762149413553488830486463735739514876362382240000