Number of set partitions of [n] into subsets whose element sums are distinct squares.

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =0a(6) =1a(7) =0a(8) =1a(9) =23a(10) =9a(11) =41a(12) =248a(13) =277a(14) =1556a(15) =2854a(16) =5233a(17) =20701a(18) =145137a(19) =1626890a(20) =4118910a(21) =9963276a(22) =9260756a(23) =64027363a(24) =365237571a(25) =1002679107a(26) =21594036300a(27) =24465529531a(28) =144914973347