Number of integer partitions of 2n with reverse-alternating sum < 0.

Terms

a(0) =0a(1) =0a(2) =1a(3) =3a(4) =7a(5) =15a(6) =29a(7) =54a(8) =96a(9) =165a(10) =275a(11) =449a(12) =716a(13) =1123a(14) =1732a(15) =2635a(16) =3955a(17) =5871a(18) =8620a(19) =12536a(20) =18065a(21) =25821a(22) =36617a(23) =51560a(24) =72105a(25) =100204a(26) =138417a(27) =190134a(28) =259772a(29) =353134