Sum of the sizes of the longest clique of all partitions of n.

Terms

a(0) =1a(1) =3a(2) =5a(3) =10a(4) =15a(5) =26a(6) =38a(7) =60a(8) =86a(9) =127a(10) =178a(11) =255a(12) =349a(13) =484a(14) =652a(15) =885a(16) =1174a(17) =1565a(18) =2049a(19) =2689a(20) =3481a(21) =4510a(22) =5779a(23) =7407a(24) =9403a(25) =11933a(26) =15029a(27) =18908a(28) =23636a(29) =29511