Sum over all partitions of n of the sum of the parts that are smaller than the largest part.

Terms

a(0) =0a(1) =0a(2) =1a(3) =3a(4) =9a(5) =17a(6) =36a(7) =61a(8) =106a(9) =171a(10) =273a(11) =411a(12) =627a(13) =916a(14) =1326a(15) =1890a(16) =2667a(17) =3698a(18) =5102a(19) =6943a(20) =9388a(21) =12588a(22) =16747a(23) =22113a(24) =29051a(25) =37914a(26) =49191a(27) =63515a(28) =81589a(29) =104315