RM: "Can someone explain why the comment says that these operations result
in A001519, which is [1,1,2,5,13,34..]?"
Watula probably pasted the wrong sequence {0,1,0,5,0,25,...}, since the
second inverse binomial transform of {1,1,2,...} is {1,3,10,...} which is
not even aerated.
Ed Jeffery