Number of normal patterns contiguously 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) =145a(9) =225a(10) =349a(11) =524a(12) =778a(13) =1137a(14) =1645a(15) =2330a(16) =3293a(17) =4586a(18) =6341a(19) =8676a(20) =11794a(21) =15880a(22) =21292a(23) =28298a(24) =37419a(25) =49163a(26) =64301a(27) =83576a(28) =108191a(29) =139326