A147714 Late-growing permutations: number of permutations of 16 indistinguishable copies of 1..n with every partial sum <= the same partial sum averaged over all permutations.
1, 35357670, 79726203788589122490, 14147534294176318279439513521917987, 417809370210357850902657289546398207489797059635000
Offset: 1