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

Terms

a(0) =1a(1) =1a(2) =0a(3) =0a(4) =1a(5) =0a(6) =1a(7) =1a(8) =7a(9) =37a(10) =22a(11) =264a(12) =310a(13) =1181a(14) =2350a(15) =8102a(16) =38471a(17) =136528a(18) =738072a(19) =2811383a(20) =12163208a(21) =45121906a(22) =160620225a(23) =729516611a(24) =3962353196