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

1,24

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.

Sequence in context: A291529 A366981 A236417 * A219487 A303907 A290870

Adjacent sequences: A238301 A238302 A238303 * A238305 A238306 A238307

Keyword

nonn

Author

Zak Seidov, Feb 24 2014

Status

approved