cp's OEIS Frontend

A319925 Number of integer partitions with no 1's whose parts can be combined together using additions and multiplications to obtain n.

%I A319925 #5 Oct 01 2018 21:17:39
%S A319925 0,1,1,2,2,5,4,10,10,18,19,38,35,62,71,113,122,199,213,329
%N A319925 Number of integer partitions with no 1's whose parts can be combined together using additions and multiplications to obtain n.
%C A319925 All parts of the partition must be used in such a combination.
%F A319925 a(n) >= A001055(n).
%F A319925 a(n) >= A002865(n).
%e A319925 The a(8) = 10 partitions (which are not all partitions of 8):
%e A319925   (8),
%e A319925   (42), (62), (53), (44),
%e A319925   (222), (322), (422), (332),
%e A319925   (2222).
%e A319925 For example, this list contains (322) because we can write 8 = 3*2+2.
%Y A319925 Cf. A000792, A001970, A002865, A005520, A048249, A066739, A275870, A319850, A318949, A319909, A319910, A319912, A319913.
%K A319925 nonn,more
%O A319925 1,4
%A A319925 _Gus Wiseman_, Oct 01 2018