cp's OEIS Frontend

This is a front-end for the Online Encyclopedia of Integer Sequences, made by Christian Perfect. The idea is to provide OEIS entries in non-ancient HTML, and then to think about how they're presented visually. The source code is on GitHub.

A032785 Numbers k such that k*(k+1)*(k+2) ... (k+13) / (k+(k+1)+(k+2)+ ... +(k+13)) is an integer.

This page as a plain text file.
%I A032785 #18 Jul 13 2018 21:04:13
%S A032785 0,1,4,6,7,10,11,13,16,21,25,26,31,32,34,39,43,46,52,54,61,65,76,78,
%T A032785 81,88,91,106,109,115,130,131,142,151,156,169,175,186,196,208,221,241,
%U A032785 247,256,277,286,296,331,340,351,358,403,406,416,417,439,466,481,494
%N A032785 Numbers k such that k*(k+1)*(k+2) ... (k+13) / (k+(k+1)+(k+2)+ ... +(k+13)) is an integer.
%C A032785 (d-13)/2 for divisors d>=13 of 2608781175.  In particular, the sequence is finite. - _Robert Israel_, Jul 13 2018
%H A032785 Robert Israel, <a href="/A032785/b032785.txt">Table of n, a(n) for n = 1..372</a>
%p A032785 seq((t-13)/2, t=select(`>=`,numtheory:-divisors(2608781175),13)); # _Robert Israel_, Jul 13 2018
%t A032785 Select[Range[0,500],IntegerQ[Times@@Range[#,#+13]/Total[Range[ #, #+13]]]&] (* _Harvey P. Dale_, Sep 02 2016 *)
%Y A032785 Cf. A032765-A032798.
%K A032785 nonn,fini,full
%O A032785 1,3
%A A032785 _Patrick De Geest_, May 15 1998
%E A032785 Definition corrected by _Harvey P. Dale_, Sep 02 2016