%I #7 Feb 24 2014 10:27:18

%S 0,0,0,0,0,1,0,0,1,0,0,1,1,0,1,0,1,1,0,1,1,1,0,2,0,0,2,1,0,1,1,2,1,0,

%T 0,2,1,1,2,1,0,2,0,2,2,0,1,1,1,1,1,3,0,2,0,1,2,1,1,4,1,1,1,1,0,2,2,2,

%U 2,0,1,3,1,0,1,3,1,2,0,2,2,2,1,4,1,0,3,1,0,1,0,5,2,3,1,2,2,0,2,1,1,3,1,2,2,1,2,5

%N Number of monic quartic polynomials with coefficients from {1..n} and maximum coefficient equal to n, for which all four roots are integers.

%C Among first 10000 terms the largest is a(8640) = 174.

%C Also a(n) = 0 for n = 1,2,3,4,5,7,8,10,11,14,16,19,23,25,26,29,34,35,41,43,46,53,55,65,70,74,79,86,.. (329 terms among first 10000 terms.)

%H Zak Seidov, <a href="/A238304/b238304.txt">Table of n, a(n) for n = 1..10000</a>

%Y Cf. A238097.

%K nonn

%O 1,24

%A _Zak Seidov_, Feb 24 2014