Number of partitions of n containing a clique of size 3.

Terms

a(0) =1a(1) =0a(2) =1a(3) =2a(4) =3a(5) =3a(6) =6a(7) =8a(8) =13a(9) =15a(10) =24a(11) =30a(12) =44a(13) =54a(14) =77a(15) =98a(16) =134a(17) =165a(18) =222a(19) =279a(20) =367a(21) =454a(22) =588a(23) =731a(24) =936a(25) =1148a(26) =1454a(27) =1788a(28) =2241a(29) =2732