|
Search: id:A134885
|
|
|
| A134885 |
|
Triangular sequence from polynomials that gives roots near 137. |
|
+0
1
|
|
| 1, 137, -1, -135, -137, 1, 134, 0, 137, -1, -133, 0, 0, -137, 1, 132, 0, 0, 0, 137, -1, -131, 0, 0, 0, 0, -137, 1, 130, 0, 0, 0, 0, 0, 137, -1
(list; table; graph; listen)
|
|
|
OFFSET
|
1,2
|
|
|
COMMENT
|
Alternative Mathematica code for larger polynomials: p[x_, n_] = (-1)^(n - 1)*(135 - n) + (-1)^(n - 1)*137*x^(n - 1) - (-1)^ n - 1)*x^n Table[p[x, n], {n, 2, 10}]
|
|
FORMULA
|
p(x,0)=1 p(x,1)=137-x p(x,n)=(-1)^(n-1)*(135-n)+(-1)^(n-1)*137*x^(n-1)-(-1)^(n-1)*x^n: n>2 a(m,n) = CoefficientList(p(x,n),x)
|
|
EXAMPLE
|
p[x,134]
gives:
-1 - 137 x^133 + x^134
Triangular sequence:
{1},
{137, -1},
{-135, -137, 1},
{134, 0, 137, -1},
{-133, 0, 0, -137, 1},
{132, 0, 0, 0, 137, -1},
{-131, 0, 0, 0, 0, -137, 1},
{130, 0, 0, 0, 0, 0, 137, -1}
|
|
MATHEMATICA
|
p[x_, n_] = (-1)^(n - 1)*(137 - n) + (-1)^(n - 1)*137*x^(n - 1) - (-1)^( n - 1)*x^n
a = Join[{1, 137 - x}, Table[p[x, n], {n, 2, 10}]]
c = Table[CoefficientList[a[[n]], x], {n, 1, Length[a]}]
Flatten[c]
|
|
CROSSREFS
|
Adjacent sequences: A134882 A134883 A134884 this_sequence A134886 A134887 A134888
Sequence in context: A035819 A001330 A091510 this_sequence A082726 A138358 A138329
|
|
KEYWORD
|
uned,tabl,sign
|
|
AUTHOR
|
Roger L. Bagula (rlbagulatftn(AT)yahoo.com), Jan 29 2008
|
|
|
Search completed in 0.008 seconds
|
