Number of 2-sparse nonoverlapping partitions of n.

Terms

a(0) =1a(1) =1a(2) =1a(3) =2a(4) =4a(5) =10a(6) =27a(7) =80a(8) =255a(9) =870a(10) =3155a(11) =12100a(12) =48871a(13) =207162a(14) =918944a(15) =4254690a(16) =20513838a(17) =102784942a(18) =534205629a(19) =2875098840a(20) =15999114433a(21) =91923562922a(22) =544606671776