Number of partitions of [n] whose singletons sum to n.

Terms

a(0) =1a(1) =1a(2) =0a(3) =1a(4) =2a(5) =6a(6) =20a(7) =78a(8) =307a(9) =1486a(10) =6974a(11) =38584a(12) =212268a(13) =1321886a(14) =8186322a(15) =57015161a(16) =391153290a(17) =2976480926a(18) =22534577137a(19) =185638964675