|
| |
|
|
A142720
|
|
A triangle sequence of coefficients of odd sum polynomials: p(x,n)=x^(2*n - 1) - Sum[x^(2*i + 1), {i, 0, n - 1}] - 1.
|
|
0
| |
|
|
-1, -1, -1, -1, -1, 0, -1, -1, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, -1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 1,1
|
|
|
COMMENTS
| Row sums are:
{-1, -2, -3, -4, -5, -6, -7, -8, -9, -10}.
|
|
|
FORMULA
| p(x,n)=x^(2*n - 1) - Sum[x^(2*i + 1), {i, 0, n - 1}] - 1; t(n,m)=coefficients(p)x,n).
|
|
|
EXAMPLE
| {-1},
{-1, -1},
{-1, -1, 0, -1},
{-1, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1, 0, -1},
{-1, -1, 0, -1, 0, -1, 0, -1, 0, -1,0, -1, 0, -1, 0, -1, 0, -1}
|
|
|
MATHEMATICA
| p[x_, n_] := x^(2*n - 1) - Sum[x^(2*i + 1), {i, 0, n - 1}] - 1; Table[Expand[p[x, n]], {n, 1, 10}]; Table[CoefficientList[p[x, n], x], {n, 1, 10}]; Flatten[%] b = Table[Apply[Plus, Re[CoefficientList[p[x, n], x]]], {n, 1, 10}]
|
|
|
CROSSREFS
| Sequence in context: A011750 A010055 A076699 * A091862 A167020 A163812
Adjacent sequences: A142717 A142718 A142719 * A142721 A142722 A142723
|
|
|
KEYWORD
| uned,sign
|
|
|
AUTHOR
| Roger L. Bagula and Gary W. Adamson (rlbagulatftn(AT)yahoo.com), Sep 27 2008
|
| |
|
|
