Numbers k such that k(k+1)(k+2)...(k+11) / (k+(k+1)+(k+2)+...+(k+11)) is an integer.

Terms

a(0) =0a(1) =2a(2) =5a(3) =7a(4) =8a(5) =11a(6) =12a(7) =17a(8) =19a(9) =22a(10) =26a(11) =32a(12) =33a(13) =35a(14) =44a(15) =47a(16) =55a(17) =62a(18) =68a(19) =77a(20) =82a(21) =89a(22) =107a(23) =110a(24) =116a(25) =117a(26) =132a(27) =143a(28) =152a(29) =176