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Search: id:A138334
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| A138334 |
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C(n+11, 11)*(n+6)*(-1)^(n+1)*512/3. |
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+0
1
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| -1024, 14336, -106496, 559104, -2329600, 8200192, -25346048, 70606848, -180590592, 429977600, -963149824, 2046693376, -4153583616, 8094162944, -15214592000, 27690557440, -48952949760, 84293314560, -141710499840, 233076480000
(list; graph; listen)
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OFFSET
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0,1
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COMMENT
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Seventh column of the triangle defined in A123588, thirteenth 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^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.
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PROGRAM
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(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), ", "));
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CROSSREFS
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Cf. A007318 (Pascal's triangle), A123588, A123583.
Sequence in context: A046313 A046314 A135289 this_sequence A016781 A016805 A016901
Adjacent sequences: A138331 A138332 A138333 this_sequence A138335 A138336 A138337
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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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