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 A032784 Numbers k such that k(k+1)(k+2)...(k+11) / (k+(k+1)+(k+2)+...+(k+11)) is an integer. 1
 0, 2, 5, 7, 8, 11, 12, 17, 19, 22, 26, 32, 33, 35, 44, 47, 55, 62, 68, 77, 82, 89, 107, 110, 116, 117, 132, 143, 152, 176, 187, 197, 215, 242, 257, 264, 278, 297, 332, 341, 362, 407, 418, 440, 467, 539, 572, 602, 607, 656, 737, 782, 803, 845, 902, 957, 1007, 1034 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,2 COMMENTS (d-11)/2 where d>=7 is a divisor of 36018675. In particular, the sequence is finite. - Robert Israel, Jul 12 2018 LINKS Robert Israel, Table of n, a(n) for n = 1..157 MAPLE sort(convert(select(type, map(t -> (t-11)/2, numtheory:-divisors(36018675)), nonnegint), list)); MATHEMATICA Select[Range[0, 1100], IntegerQ[Times@@Range[#, #+11]/Total[Range[#, #+11]]]&] (* Harvey P. Dale, Sep 02 2016 *) CROSSREFS Cf. A032765-A032798. Sequence in context: A153083 A140592 A153086 * A277266 A047268 A039580 Adjacent sequences: A032781 A032782 A032783 * A032785 A032786 A032787 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 12 2018 STATUS approved

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Last modified December 9 23:44 EST 2023. Contains 367696 sequences. (Running on oeis4.)