A032782 Numbers k such that k(k+1)(k+2)...(k+9) / (k+(k+1)+(k+2)+...+(k+9)) is an integer.

0, 3, 6, 9, 13, 18, 20, 27, 36, 48, 63, 69, 90, 117, 118, 153, 198, 216, 279, 360, 363, 468, 603, 657, 846, 1098, 1413, 1818, 1980, 2547, 3303, 4248, 5949, 9918, 12753, 17856, 29763, 89298

Offset

1,2

Comments

(d-9)/2 for divisors d >= 9 of 178605. Thus the sequence is finite. - Robert Israel, Jul 13 2018

Links

Table of n, a(n) for n=1..38.

Maple

seq((t-9)/2, t=select(`>=`, numtheory:-divisors(178605), 9)); # Robert Israel, Jul 13 2018

Mathematica

Select[Range[0, 10^5], IntegerQ[(Times@@(#+Range[0, 9]))/(10#+45)]&](* Harvey P. Dale, Mar 18 2015 *)

Crossrefs

Cf. A032781, A032783.

Sequence in context: A080060 A004131 A171514 * A310157 A310158 A076523

Adjacent sequences: A032779 A032780 A032781 * A032783 A032784 A032785

Keyword

nonn,fini,full

Author

Patrick De Geest, May 15 1998

Status

approved