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A032778
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Numbers k such that k*(k+1)*(k+2)*...*(k+7) / (k+(k+1)+(k+2)+...+(k+7)) is an integer.
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2
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0, 1, 4, 7, 9, 14, 19, 21, 28, 34, 49, 70, 84, 109, 119, 154, 217, 259, 364, 609, 784, 1099, 1834, 5509
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OFFSET
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1,3
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COMMENTS
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(d-7)/2 where d >= 7 is a divisor of 11025, so sequence is finite. - Robert Israel, Jul 12 2018
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LINKS
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MATHEMATICA
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Select[Range[0, 300], IntegerQ[Times@@Range[#, # + 7] / Total[Range[#, # + 7]]] &] (* Vincenzo Librandi, Jul 13 2018 *)
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CROSSREFS
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KEYWORD
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nonn,fini,full
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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