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A138332
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C(n+7, 7)*(n+4)*(-1)^(n+1)*16.
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0
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-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
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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COMMENTS
| Fifth column of the triangle defined in A123588, ninth column of the triangle defined in A123583.
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LINKS
| Index entries for sequences related to Chebyshev polynomials.
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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).
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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), ", "));
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CROSSREFS
| Cf. A007318 (Pascal's triangle), A123588, A123583, A053347.
Sequence in context: A000525 A067476 A179810 * A091083 A136950 A136957
Adjacent sequences: A138329 A138330 A138331 * A138333 A138334 A138335
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KEYWORD
| sign
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AUTHOR
| Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 15 2008
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