A138332 C(n+7, 7)*(n+4)*(-1)^(n+1)*16.
-64, 640, -3456, 13440, -42240, 114048, -274560, 604032, -1235520, 2379520, -4356352, 7637760, -12899328, 21085440, -33488640, 51845376, -78450240, 116290944, -169206400, 242070400, -341003520, 473616000, -649284480, 879465600, -1178049600
Offset: 0
Keywords
Programs
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Magma
[ Binomial(n+7, 7)*(n+4)*(-1)^(n+1)*16: n in [0..24] ];
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Magma
k:=4; [ Coefficients(1-ChebyshevT(n+k)^2)[2*k+1]: n in [0..24] ];
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PARI
for(n=0,24,print1(polcoeff(taylor(64*(x-1)/(x+1)^9,x),n),","));
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).
Comments