

A032784


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


1



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
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OFFSET

1,2


COMMENTS

(d11)/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 > (t11)/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. A032765A032798.
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



