Numbers k such that k(k+1)(k+2)...(k+15) / (k+(k+1)+(k+2)+...+(k+15)) is an integer.

Terms

a(0) =0a(1) =3a(2) =5a(3) =6a(4) =9a(5) =10a(6) =12a(7) =15a(8) =17a(9) =20a(10) =24a(11) =25a(12) =30a(13) =31a(14) =33a(15) =38a(16) =42a(17) =45a(18) =51a(19) =53a(20) =55a(21) =60a(22) =64a(23) =66a(24) =75a(25) =77a(26) =80a(27) =87a(28) =90a(29) =105