Number of integer partitions of n with weighted alternating sum 0.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =0a(5) =0a(6) =2a(7) =2a(8) =0a(9) =3a(10) =3a(11) =3a(12) =5a(13) =5a(14) =10a(15) =12a(16) =7a(17) =14a(18) =25a(19) =18a(20) =22a(21) =48a(22) =48a(23) =41a(24) =67a(25) =82a(26) =89a(27) =111a(28) =140a(29) =170