

A238304


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


1



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
(list;
graph;
refs;
listen;
history;
text;
internal format)



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: A143620 A291529 A236417 * A219487 A303907 A290870
Adjacent sequences: A238301 A238302 A238303 * A238305 A238306 A238307


KEYWORD

nonn


AUTHOR

Zak Seidov, Feb 24 2014


STATUS

approved



