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A032778
Numbers k such that k*(k+1)*(k+2)*...*(k+7) / (k+(k+1)+(k+2)+...+(k+7)) is an integer.
2
0, 1, 4, 7, 9, 14, 19, 21, 28, 34, 49, 70, 84, 109, 119, 154, 217, 259, 364, 609, 784, 1099, 1834, 5509
OFFSET
1,3
COMMENTS
(d-7)/2 where d >= 7 is a divisor of 11025, so sequence is finite. - Robert Israel, Jul 12 2018
MATHEMATICA
Select[Range[0, 300], IntegerQ[Times@@Range[#, # + 7] / Total[Range[#, # + 7]]] &] (* Vincenzo Librandi, Jul 13 2018 *)
CROSSREFS
Sequence in context: A243935 A310966 A287559 * A282058 A210497 A010383
KEYWORD
nonn,fini,full
AUTHOR
Patrick De Geest, May 15 1998
EXTENSIONS
Offset changed by Robert Israel, Jul 12 2018
STATUS
approved