A147700 Late-growing permutations: number of permutations of 11 indistinguishable copies of 1..n with every partial sum <= the same partial sum averaged over all permutations.

1, 58786, 11377249621920, 32371149339259024610992, 4228135363283244543270651711564000, 2507864854806378467366565303442444098886802152