Number of normal patterns matched by integer partitions of n.

Terms

a(0) =1a(1) =2a(2) =5a(3) =9a(4) =18a(5) =31a(6) =54a(7) =89a(8) =146a(9) =228a(10) =358a(11) =545a(12) =821a(13) =1219a(14) =1795a(15) =2596a(16) =3741a(17) =5323a(18) =7521a(19) =10534a(20) =14659a(21) =20232a(22) =27788a(23) =37897a(24) =51410a(25) =69347a(26) =93111a(27) =124348a(28) =165378a(29) =218924