OFFSET
0,1
COMMENTS
FORMULA
a(n) = coefficient of x^8 in the polynomial 1 - T_(n+4)(x)^2, where T_n(x) is the n-th Chebyshev polynomial of the first kind.
G.f.: 64*(x-1)/(x+1)^9.
a(n) = (-1)^(n+1)*64*A053347(n).
PROG
(Magma) [ Binomial(n+7, 7)*(n+4)*(-1)^(n+1)*16: n in [0..24] ];
(Magma) k:=4; [ Coefficients(1-ChebyshevT(n+k)^2)[2*k+1]: n in [0..24] ];
(PARI) for(n=0, 24, print1(polcoeff(taylor(64*(x-1)/(x+1)^9, x), n), ", "));
CROSSREFS
KEYWORD
sign
AUTHOR
Klaus Brockhaus, Mar 15 2008
STATUS
approved