A032786 - OEIS

%I #18 Jul 13 2018 21:04:25

%S 0,3,5,6,9,10,12,15,17,20,24,25,30,31,33,38,42,45,51,53,55,60,64,66,

%T 75,77,80,87,90,105,108,114,115,129,130,141,150,155,168,174,180,185,

%U 195,207,213,220,240,246,255,262,276,285,295,305,311,330,339,350,357

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

%C (d-15)/2 where d >= 15 divides 4108830350625.  In particular, the sequence is finite. - _Robert Israel_, Jul 13 2018

%H Robert Israel, <a href="/A032786/b032786.txt">Table of n, a(n) for n = 1..1208</a>

%p sort([seq((t-15)/2, t=select(`>=`,numtheory:-divisors(4108830350625),15))]); # _Robert Israel_, Jul 13 2018

%t Select[Range[0,500],IntegerQ[Times@@Range[#,#+15]/Total[Range[ #,#+15]]]&] (* _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 13 2018