Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer.

Terms

a(0) =0a(1) =3a(2) =6a(3) =9a(4) =13a(5) =18a(6) =20a(7) =27a(8) =36a(9) =48a(10) =63a(11) =69a(12) =90a(13) =117a(14) =118a(15) =153a(16) =198a(17) =216a(18) =279a(19) =360a(20) =363a(21) =468a(22) =603a(23) =657a(24) =846a(25) =1098a(26) =1413a(27) =1818a(28) =1980a(29) =2547