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

Terms

a(0) =1a(1) =1a(2) =2a(3) =3a(4) =4a(5) =5a(6) =8a(7) =9a(8) =13a(9) =16a(10) =21a(11) =27a(12) =37a(13) =44a(14) =59a(15) =75a(16) =94a(17) =117a(18) =153a(19) =186a(20) =238a(21) =296a(22) =369a(23) =458a(24) =573a(25) =701a(26) =870a(27) =1068a(28) =1312a(29) =1601