a(n) is the smallest number with exactly n divisors that are tetrahedral numbers.

Terms

a(0) =1a(1) =4a(2) =56a(3) =20a(4) =120a(5) =280a(6) =560a(7) =840a(8) =1680a(9) =10920a(10) =9240a(11) =18480a(12) =55440a(13) =120120a(14) =240240a(15) =314160a(16) =628320a(17) =1441440a(18) =2282280a(19) =7225680a(20) =4564560a(21) =9129120a(22) =13693680a(23) =27387360a(24) =54774720a(25) =68468400a(26) =77597520a(27) =136936800a(28) =155195040a(29) =310390080