Number of separable integer partitions of n without an alternating permutation.

Terms

a(0) =0a(1) =0a(2) =0a(3) =0a(4) =0a(5) =0a(6) =0a(7) =0a(8) =0a(9) =0a(10) =1a(11) =1a(12) =1a(13) =2a(14) =3a(15) =5a(16) =6a(17) =7a(18) =10a(19) =14a(20) =18a(21) =21a(22) =27a(23) =35a(24) =42a(25) =54a(26) =65a(27) =78a(28) =95a(29) =117