Boys and a girl partition

[franktaw at netscape.net]

It certainly is in the OEIS.  This is A000070: the cumulative sum of the  
number of partitions of n.

Let k be the number of boys in the partition that contains the girl.   
Then the remaining parts are an arbitrary partition of n-k-1.

Franklin T. Adams-Watters

-----Original Message-----
From: koh <zbi74583 at boat.zero.ad.jp>

      Hi,Seqfans


    I considered partitions of a set which has {n-1} boys and a girl.

    S : 1,2,4,7,12,19,30

    n=5
    {o,o,o,o,*},{o,o,*,oo},{o,o,o,o*},{*,oo,oo},{o,oo,o*},
{o,*,ooo},{o,o,oo*},{o*,ooo},{oo,oo*},{*,oooo},{o,ooo*},{oooo*}?
    "o" means a boy, "*" means a girl.

    It doesn't seem to exist on OEIS.
    I will submit it.

    I wish someone verify it.
    Are all terms correct?

    Yasutoshi



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