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

0, 1, 1, 2, 2, 5, 4, 10, 10, 18, 19, 38, 35, 62, 71, 113, 122, 199, 213, 329

Offset: 1

Author

Gus Wiseman, Oct 01 2018

Keywords

• nonn
• more

Comments

All parts of the partition must be used in such a combination.

Examples

			The a(8) = 10 partitions (which are not all partitions of 8):
  (8),
  (42), (62), (53), (44),
  (222), (322), (422), (332),
  (2222).
For example, this list contains (322) because we can write 8 = 3*2+2.
		

Crossrefs

Cf. A000792, A001970, A002865, A005520, A048249, A066739, A275870, A319850, A318949, A319909, A319910, A319912, A319913.

Formula

a(n) >= A001055(n).

a(n) >= A002865(n).