A032779 -id:A032779 - cp's OEIS frontend

A032777 Floor( n(n+1)(n+2)...(n+7) / (n+(n+1)+(n+2)+...+(n+7)) ).

0, 1120, 8247, 34892, 110880, 293505, 682787, 1441440, 2820208, 5189184, 9075733, 15209677, 24576340, 38478109, 58605120, 87115718, 126727310, 180818236, 253541302, 349949600, 476135234, 639381600, 848329835

Offset: 0

Patrick De Geest, May 15 1998

nonn

Harvey P. Dale, Table of n, a(n) for n = 0..1000

Cf. A032778, A032779.

With[{c=n+Range[0,7]},Table[Floor[Times@@c/Total[c]],{n,0,30}]] (* Harvey P. Dale, Sep 24 2021 *)

A032778 Numbers k such that k(k+1)(k+2)...(k+7) / (k+(k+1)+(k+2)+...+(k+7)) is an integer.

Original entry on oeis.org

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

Patrick De Geest, May 15 1998

(d-7)/2 where d >= 7 is a divisor of 11025, so sequence is finite. - Robert Israel, Jul 12 2018

Cf. A032777, A032779.

Select[Range[0, 300], IntegerQ[Times@@Range[#, # + 7] / Total[Range[#, # + 7]]] &] (* Vincenzo Librandi, Jul 13 2018 *)

Offset changed by Robert Israel, Jul 12 2018

cp's OEIS Frontend

A032777 Floor( n(n+1)(n+2)...(n+7) / (n+(n+1)+(n+2)+...+(n+7)) ).

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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.

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cp's OEIS Frontend

A032777 Floor( n(n+1)(n+2)...(n+7) / (n+(n+1)+(n+2)+...+(n+7)) ).

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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.

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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.