A032784 Numbers k such that k(k+1)(k+2)...(k+11) / (k+(k+1)+(k+2)+...+(k+11)) is an integer.

0, 2, 5, 7, 8, 11, 12, 17, 19, 22, 26, 32, 33, 35, 44, 47, 55, 62, 68, 77, 82, 89, 107, 110, 116, 117, 132, 143, 152, 176, 187, 197, 215, 242, 257, 264, 278, 297, 332, 341, 362, 407, 418, 440, 467, 539, 572, 602, 607, 656, 737, 782, 803, 845, 902, 957, 1007, 1034

Offset

1,2

Comments

(d-11)/2 where d>=7 is a divisor of 36018675. In particular, the sequence is finite. - Robert Israel, Jul 12 2018

Links

Robert Israel, Table of n, a(n) for n = 1..157

Maple

sort(convert(select(type, map(t -> (t-11)/2, numtheory:-divisors(36018675)), nonnegint), list));

Mathematica

Select[Range[0, 1100], IntegerQ[Times@@Range[#, #+11]/Total[Range[#, #+11]]]&] (* Harvey P. Dale, Sep 02 2016 *)

Crossrefs

Cf. A032765-A032798.

Sequence in context: A153083 A140592 A153086 * A277266 A047268 A039580

Adjacent sequences: A032781 A032782 A032783 * A032785 A032786 A032787

Keyword

nonn,fini,full

Author

Patrick De Geest, May 15 1998

Extensions

Definition corrected by Harvey P. Dale, Sep 02 2016

Offset changed by Robert Israel, Jul 12 2018

Status

approved