a(n) = lcm(sigma(n+1), sigma(n)), where sigma = A000203.

Terms

a(0) =3a(1) =12a(2) =28a(3) =42a(4) =12a(5) =24a(6) =120a(7) =195a(8) =234a(9) =36a(10) =84a(11) =28a(12) =168a(13) =24a(14) =744a(15) =558a(16) =234a(17) =780a(18) =420a(19) =672a(20) =288a(21) =72a(22) =120a(23) =1860a(24) =1302a(25) =840a(26) =280a(27) =840a(28) =360a(29) =288