Number of partitions of [n] whose non-singleton elements sum to n.

Terms

a(0) =1a(1) =0a(2) =0a(3) =1a(4) =1a(5) =2a(6) =3a(7) =4a(8) =5a(9) =7a(10) =12a(11) =14a(12) =20a(13) =26a(14) =36a(15) =54a(16) =68a(17) =90a(18) =120a(19) =157a(20) =202a(21) =296a(22) =360a(23) =480a(24) =612a(25) =803a(26) =1006a(27) =1317a(28) =1764a(29) =2198