a(1) = 1. For n >= 2, a(n) = sum of the two (not necessarily distinct) earlier terms, a(j) and a(k), which maximizes d(a(j)+a(k)), where d(m) is the number of positive divisors of m. a(n) = the maximum (a(j)+a(k)) if more than one such sum has the maximum number of divisors.

A115386

a(1) = 1. For n >= 2, a(n) = sum of the two (not necessarily distinct) earlier terms, a(j) and a(k), which maximizes d(a(j)+a(k)), where d(m) is the number of positive divisors of m. a(n) = the maximum (a(j)+a(k)) if more than one such sum has the maximum number of divisors.

Terms

    a(0) =1a(1) =2a(2) =4a(3) =8a(4) =12a(5) =24a(6) =48a(7) =96a(8) =120a(9) =240a(10) =480a(11) =720a(12) =1440a(13) =2880a(14) =5760a(15) =8640a(16) =10080a(17) =20160a(18) =40320a(19) =60480a(20) =120960a(21) =241920a(22) =302400a(23) =604800a(24) =665280a(25) =1330560a(26) =2661120a(27) =3326400a(28) =6652800a(29) =13305600

External references