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 A032786 Numbers k such that k(k+1)(k+2)...(k+15) / (k+(k+1)+(k+2)+...+(k+15)) is an integer. 1
 0, 3, 5, 6, 9, 10, 12, 15, 17, 20, 24, 25, 30, 31, 33, 38, 42, 45, 51, 53, 55, 60, 64, 66, 75, 77, 80, 87, 90, 105, 108, 114, 115, 129, 130, 141, 150, 155, 168, 174, 180, 185, 195, 207, 213, 220, 240, 246, 255, 262, 276, 285, 295, 305, 311, 330, 339, 350, 357 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS (d-15)/2 where d >= 15 divides 4108830350625.  In particular, the sequence is finite. - Robert Israel, Jul 13 2018 LINKS Robert Israel, Table of n, a(n) for n = 1..1208 MAPLE sort([seq((t-15)/2, t=select(`>=`, numtheory:-divisors(4108830350625), 15))]); # Robert Israel, Jul 13 2018 MATHEMATICA Select[Range[0, 500], IntegerQ[Times@@Range[#, #+15]/Total[Range[ #, #+15]]]&] (* Harvey P. Dale, Sep 02 2016 *) CROSSREFS Cf. A032765-A032798. Sequence in context: A080307 A001969 A075311 * A080309 A281746 A287162 Adjacent sequences:  A032783 A032784 A032785 * A032787 A032788 A032789 KEYWORD nonn,fini,full AUTHOR Patrick De Geest, May 15 1998 EXTENSIONS Definition corrected by Harvey P. Dale, Sep 02 2016 Offset changed by Robert Israel, Jul 13 2018 STATUS approved

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Last modified August 17 12:52 EDT 2018. Contains 313817 sequences. (Running on oeis4.)