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Search: id:A138333
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| A138333 |
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C(n+9, 9)*(n+5)*(-1)^(n+1)*256/5. |
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+0
1
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| -256, 3072, -19712, 90112, -329472, 1025024, -2818816, 7028736, -16180736, 34850816, -70946304, 137592832, -255836672, 458422272, -794962432, 1338884096, -2196606720, 3519493120, -5519205120, 8487198720, -12819206400, 19045678080, -27869287680
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Sixth column of the triangle defined in A123588, eleventh column of the triangle defined in A123583.
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LINKS
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Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n) = coefficient of x^10 in the polynomial 1 - T_(n+5)(x)^2, where T_n(x) is the n-th Chebyshev polynomial of the first kind.
G.f.: 256*(x-1)/(x+1)^11.
a(n) = (-1)^(n+1)*256*A054334(n).
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PROGRAM
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(MAGMA) [ Binomial(n+9, 9)*(n+5)*(-1)^(n+1)*256/5: n in [0..22] ];
(MAGMA) k:=5; [ Coefficients(1-ChebyshevT(n+k)^2)[2*k+1]: n in [0..22] ];
(PARI) for(n=0, 22, print1(polcoeff(taylor(256*(x-1)/(x+1)^11, x), n), ", "));
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CROSSREFS
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Cf. A007318 (Pascal's triangle), A123588, A123583, A054334.
Sequence in context: A014711 A014713 A016780 this_sequence A070056 A074151 A016804
Adjacent sequences: A138330 A138331 A138332 this_sequence A138334 A138335 A138336
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KEYWORD
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sign
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AUTHOR
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Klaus Brockhaus (klaus-brockhaus(AT)t-online.de), Mar 15 2008
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