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 A032785 Numbers k such that k*(k+1)*(k+2) ... (k+13) / (k+(k+1)+(k+2)+ ... +(k+13)) is an integer. 1
 0, 1, 4, 6, 7, 10, 11, 13, 16, 21, 25, 26, 31, 32, 34, 39, 43, 46, 52, 54, 61, 65, 76, 78, 81, 88, 91, 106, 109, 115, 130, 131, 142, 151, 156, 169, 175, 186, 196, 208, 221, 241, 247, 256, 277, 286, 296, 331, 340, 351, 358, 403, 406, 416, 417, 439, 466, 481, 494 (list; graph; refs; listen; history; text; internal format)
 OFFSET 1,3 COMMENTS (d-13)/2 for divisors d>=13 of 2608781175. In particular, the sequence is finite. - Robert Israel, Jul 13 2018 LINKS Robert Israel, Table of n, a(n) for n = 1..372 MAPLE seq((t-13)/2, t=select(`>=`, numtheory:-divisors(2608781175), 13)); # Robert Israel, Jul 13 2018 MATHEMATICA Select[Range[0, 500], IntegerQ[Times@@Range[#, #+13]/Total[Range[ #, #+13]]]&] (* Harvey P. Dale, Sep 02 2016 *) CROSSREFS Cf. A032765-A032798. Sequence in context: A133483 A153082 A026147 * A096887 A340161 A268574 Adjacent sequences: A032782 A032783 A032784 * A032786 A032787 A032788 KEYWORD nonn,fini,full AUTHOR Patrick De Geest, May 15 1998 EXTENSIONS Definition corrected by Harvey P. Dale, Sep 02 2016 STATUS approved

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Last modified December 6 08:34 EST 2023. Contains 367600 sequences. (Running on oeis4.)