Number of integer partitions of n with alternating product > 1.

Terms

a(0) =0a(1) =0a(2) =1a(3) =2a(4) =3a(5) =5a(6) =8a(7) =12a(8) =17a(9) =25a(10) =35a(11) =49a(12) =66a(13) =90a(14) =120a(15) =161a(16) =209a(17) =275a(18) =355a(19) =460a(20) =585a(21) =750a(22) =946a(23) =1199a(24) =1498a(25) =1881a(26) =2335a(27) =2909a(28) =3583a(29) =4430