OFFSET
1,3
COMMENTS
REFERENCES
(For references regarding interlacing roots, see A202605.)
EXAMPLE
Top of the array:
1, -1;
-3, -2, 1;
-1, 11, 3, -1;
6, -6, -29, -4, 1;
MATHEMATICA
f[i_, j_] := Max[Floor[i/j], Floor[j/i]];
m[n_] := Table[f[i, j], {i, 1, n}, {j, 1, n}]
TableForm[m[8]] (* 8 X 8 principal submatrix *)
Flatten[Table[f[i, n + 1 - i],
{n, 1, 15}, {i, 1, n}]] (* A204123 *)
p[n_] := CharacteristicPolynomial[m[n], x];
c[n_] := CoefficientList[p[n], x]
TableForm[Flatten[Table[p[n], {n, 1, 10}]]]
Table[c[n], {n, 1, 12}]
Flatten[%] (* A204124 *)
TableForm[Table[c[n], {n, 1, 10}]]
CROSSREFS
KEYWORD
tabf,sign
AUTHOR
Clark Kimberling, Jan 11 2012
STATUS
approved