A238304 Number of monic quartic polynomials with coefficients from {1..n} and maximum coefficient equal to n, for which all four roots are integers.

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, 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, 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

Offset: 1

Author

Zak Seidov, Feb 24 2014

Keywords

• nonn

Comments

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

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.)

Links

• Zak Seidov, Table of n, a(n) for n = 1..10000

Crossrefs

Cf. A238097.