%I #22 Jul 13 2018 03:35:14
%S 0,2,5,7,8,11,12,17,19,22,26,32,33,35,44,47,55,62,68,77,82,89,107,110,
%T 116,117,132,143,152,176,187,197,215,242,257,264,278,297,332,341,362,
%U 407,418,440,467,539,572,602,607,656,737,782,803,845,902,957,1007,1034
%N Numbers k such that k(k+1)(k+2)...(k+11) / (k+(k+1)+(k+2)+...+(k+11)) is an integer.
%C (d-11)/2 where d>=7 is a divisor of 36018675. In particular, the sequence is finite. - _Robert Israel_, Jul 12 2018
%H Robert Israel, <a href="/A032784/b032784.txt">Table of n, a(n) for n = 1..157</a>
%p sort(convert(select(type,map(t -> (t-11)/2,numtheory:-divisors(36018675)),nonnegint),list));
%t Select[Range[0,1100],IntegerQ[Times@@Range[#,#+11]/Total[Range[#,#+11]]]&] (* _Harvey P. Dale_, Sep 02 2016 *)
%Y Cf. A032765-A032798.
%K nonn,fini,full
%O 1,2
%A _Patrick De Geest_, May 15 1998
%E Definition corrected by _Harvey P. Dale_, Sep 02 2016
%E Offset changed by _Robert Israel_, Jul 12 2018