[math-fun] Re: strong law (mutatis mutandis)

the count of plane partitions of n+1 that can be shrunk in exactly 1 way to a plane partition of n by removing one element equals again (the beheaded) Anum=A007425 = (1,) 3,3,6,3,9,3,10,6,9,3,18,3,9,9,15 .. or Inverse Moebius transform applied twice to all 1's sequence. or tau_3(n) *** the count of solid partitions of n that can be shrunk in exactly 1 way to a solid partition of n by removing one element equals again (the beheaded) Anum=A007426 = (1,) 4,4,10,4,16,4,20,10,16 .. or Inverse Moebius transform applied thrice to all 1's sequence or tau_4(n) *** ?? sigh. all this must be particularly boring to the many who dislike partitions in more than one part (Rick Shepherd's sheep dog for one). W.