|
| |
|
|
A138334
|
|
C(n+11, 11)*(n+6)*(-1)^(n+1)*512/3.
|
|
0
| |
|
|
-1024, 14336, -106496, 559104, -2329600, 8200192, -25346048, 70606848, -180590592, 429977600, -963149824, 2046693376, -4153583616, 8094162944, -15214592000, 27690557440, -48952949760, 84293314560, -141710499840, 233076480000
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
COMMENTS
| Seventh column of the triangle defined in A123588, thirteenth column of the triangle defined in A123583.
|
|
|
LINKS
| Index entries for sequences related to Chebyshev polynomials.
|
|
|
FORMULA
| a(n) = coefficient of x^12 in the polynomial 1 - T_(n+6)(x)^2, where T_n(x) is the n-th Chebyshev polynomial of the first kind.
G.f.: 1024*(x-1)/(x+1)^13.
|
|
|
PROG
| (MAGMA) [ Binomial(n+11, 11)*(n+6)*(-1)^(n+1)*512/3: n in [0..19] ];
(MAGMA) k:=6; [ Coefficients(1-ChebyshevT(n+k)^2)[2*k+1]: n in [0..19] ];
(PARI) for(n=0, 19, print1(polcoeff(taylor(1024*(x-1)/(x+1)^13, x), n), ", "));
|
|
|
CROSSREFS
| Cf. A007318 (Pascal's triangle), A123588, A123583.
Sequence in context: A197711 A198075 A197909 * A205611 A016781 A205349
Adjacent sequences: A138331 A138332 A138333 * A138335 A138336 A138337
|
|
|
KEYWORD
| sign
|
|
|
AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 15 2008
|
| |
|
|
