Boys and a girl partition

[koh]

    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