%I
%S 0,1,1,2,2,5,4,10,10,18,19,38,35,62,71,113,122,199,213,329
%N Number of integer partitions with no 1's whose parts can be combined together using additions and multiplications to obtain n.
%C All parts of the partition must be used in such a combination.
%F a(n) >= A001055(n).
%F a(n) >= A002865(n).
%e The a(8) = 10 partitions (which are not all partitions of 8):
%e (8),
%e (42), (62), (53), (44),
%e (222), (322), (422), (332),
%e (2222).
%e For example, this list contains (322) because we can write 8 = 3*2+2.
%Y Cf. A000792, A001970, A002865, A005520, A048249, A066739, A275870, A319850, A318949, A319909, A319910, A319912, A319913.
%K nonn,more
%O 1,4
%A _Gus Wiseman_, Oct 01 2018
