Number of integer partitions of n with no adjacent parts having quotient >= 2.

Terms

a(0) =1a(1) =2a(2) =2a(3) =3a(4) =3a(5) =4a(6) =4a(7) =6a(8) =6a(9) =8a(10) =9a(11) =11a(12) =13a(13) =17a(14) =19a(15) =24a(16) =29a(17) =35a(18) =42a(19) =51a(20) =61a(21) =75a(22) =90a(23) =108a(24) =130a(25) =158a(26) =189a(27) =227a(28) =272a(29) =325