Sum over each antidiagonal of A244306.

Terms

a(0) =0a(1) =2a(2) =7a(3) =20a(4) =45a(5) =92a(6) =170a(7) =296a(8) =486a(9) =766a(10) =1161a(11) =1708a(12) =2443a(13) =3416a(14) =4676a(15) =6288a(16) =8316a(17) =10842a(18) =13947a(19) =17732a(20) =22297a(21) =27764a(22) =34254a(23) =41912a(24) =50882a(25) =61334a(26) =73437a(27) =87388a(28) =103383a(29) =121648