|
Search: id:A075613
|
|
|
| A075613 |
|
Array of coefficients of P(n,X) where P(n,X)=prod(i=1,2n+1, X-1/cos(Pi*k/(2n+1)) ) is a polynomial with integer coefficients. |
|
+0
1
|
|
| 1, 1, -4, -4, 1, 1, -12, -12, 16, 16, 1, 1, -24, -24, 80, 80, -64, -64, 1, 1, -40, -40, 240, 240, -448, -448, 256, 256, 1, 1, -60, -60, 560, 560, -1792, -1792, 2304, 2304, -1024, -1024, 1, 1, -84, -84, 1120, 1120, -5376, -5376, 11520, 11520, -11264, -11264, 4096, 4096, 1, 1, -112, -112, 2016, 2016, -13440
(list; graph; listen)
|
|
|
OFFSET
|
1,3
|
|
|
COMMENT
|
Also, coefficients of U(2n,x) repeated (A008312, Chebyshev polynomials of second kind). - R. Stephan, Sep 06 2004
|
|
EXAMPLE
|
P(3,X)=X^7 + X^6 - 24*X^5 - 24*X^4 +80*X^3 +80*X^2 -64*X - 64
|
|
CROSSREFS
|
Sequence in context: A166361 A046539 A108428 this_sequence A155194 A080044 A128433
Adjacent sequences: A075610 A075611 A075612 this_sequence A075614 A075615 A075616
|
|
KEYWORD
|
easy,sign
|
|
AUTHOR
|
Benoit Cloitre (benoit7848c(AT)orange.fr), Oct 11 2002
|
|
|
Search completed in 0.002 seconds
|
