Sum of the second moments of all partitions of n with weights starting from 1.

Terms

a(0) =0a(1) =1a(2) =7a(3) =23a(4) =66a(5) =145a(6) =321a(7) =600a(8) =1137a(9) =1964a(10) =3379a(11) =5463a(12) =8888a(13) =13714a(14) =21206a(15) =31737a(16) =47319a(17) =68727a(18) =99718a(19) =141488a(20) =200383a(21) =279097a(22) =387302a(23) =530286a(24) =724113a(25) =976949a(26) =1314106a(27) =1751079a(28) =2325412a(29) =3062942