The number of NE partitions of n (see Comments).

Terms

a(0) =1a(1) =2a(2) =3a(3) =4a(4) =7a(5) =9a(6) =14a(7) =19a(8) =27a(9) =36a(10) =51a(11) =67a(12) =90a(13) =117a(14) =157a(15) =204a(16) =266a(17) =337a(18) =436a(19) =554a(20) =708a(21) =890a(22) =1123a(23) =1401a(24) =1750a(25) =2172a(26) =2701a(27) =3329a(28) =4106a(29) =5026