PartitionsP[n + 1]*PartitionsP[n]

[Marc LeBrun]

 >=wouter meeussen
 > by the way, the simple [PartitionsP[n + 1]*PartitionsP[n]...]
 > is not yet in EIS, and superseeker can't find it.
 > Should it be in?

Of course.  The litmus test is easy: you found it interesting enough to 
check with superseeker and ask seqfan about, so by definition, submission 
is indicated:

   "Since the mid-1960's Neil Sloane has been collecting integer sequences 
from every possible source. His goal is to have ALL interesting number 
sequences in the table."
     -- http://www.research.att.com/~njas/sequences/Seis.html

Nearly every sequence that manages to attract active human notice will pass 
this test.  True, every now and then a bad sequence crops up, 
which--despite your every effort and solicitous lavished attention--is so 
aggressively boring that it makes your eyes glaze over with ennui.  If such 
a sequence is sufficiently uninteresting as to induce narcolepsy, or its 
contemplation causes lacunae of "missing time" in your memory, then of 
course, as a public service you should choose to omit it.  But in all other 
wise, submission is indicated.

The vast majority of UNinteresting sequences are those whose *only* 
apparent defining identity is as a typical member of a large and basically 
trivial class of essentially similar sequences.  If it has any sort of 
distinctive character at all, and was not simply "ground out" by a 
disinterested generator, submission is indicated.

If it would be intriguing or suggestive were it to be returned as a 
nontrivial result by a superseeker query, submission is indicated.

If it engaged you enough to spend more than a trice on it, submission is 
indicated.

So go gladly forth, accept your A-numbers as they are given unto you, and 
may the blessings the OEIS, Islam of databases, be upon you.