OFFSET
0,1
COMMENTS
Conjecture: The numbers n for which the n-th polynomial is irreducible are given by A069353.
EXAMPLE
First eight rows:
-2, 1;
-1, 4, -1;
1, 3, -6, 1;
2, -4, -6, 8, -1;
1, -10, 10, 10, -10, 1;
-1, -6, 30, -20, -15, 12, -1;
-2, 7, 21, -70, 35, 21, -14, 1;
-1, 16, -28, -56, 140, -56, -28, 16, -1;
First eight polynomials:
-2 + x
-1 + 4 x - x^2
1 + 3 x - 6 x^2 + x^3
2 - 4 x - 6 x^2 + 8 x^3 - x^4
(1 + x) (1 - 11 x + 21 x^2 - 11 x^3 + x^4)
-1 - 6 x + 30 x^2 - 20 x^3 - 15 x^4 + 12 x^5 - x^6
(-2 + x) (1 - 3 x - 12 x^2 + 29 x^3 - 3 x^4 - 12 x^5 + x^6)
-1 + 16 x - 28 x^2 - 56 x^3 + 140 x^4 - 56 x^5 - 28 x^6 + 16 x^7 - x^8
MATHEMATICA
CROSSREFS
KEYWORD
tabf,sign
AUTHOR
Clark Kimberling, Nov 01 2019
STATUS
approved