Number of magic labelings with magic sum n of 3rd graph shown in link.

Terms

a(0) =1a(1) =10a(2) =55a(3) =217a(4) =672a(5) =1755a(6) =4030a(7) =8386a(8) =16135a(9) =29140a(10) =49941a(11) =81915a(12) =129430a(13) =198037a(14) =294652a(15) =427780a(16) =607725a(17) =846846a(18) =1159795a(19) =1563805a(20) =2078956a(21) =2728495a(22) =3539130a(23) =4541382a(24) =5769907a(25) =7263880a(26) =9067345a(27) =11229631a(28) =13805730a(29) =16856745