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Search: id:A054327
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| A054327 |
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Ninth column of Lanczos triangle A053125 (decreasing powers). |
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+0
2
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| 9, 660, 20592, 411840, 6223360, 77395968, 833495040, 8033304576, 70882099200, 581979340800, 4500640235520, 33087710822400, 232937484189696, 1579462143508480, 10363761453957120, 66060621396836352
(list; graph; listen)
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OFFSET
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0,1
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REFERENCES
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C. Lanczos, Applied Analysis. Prentice-Hall, Englewood Cliffs, NJ, 1956, p. 518.
Theodore J. Rivlin, Chebyshev polynomials: from approximation theory to algebra and number theory, 2. ed., Wiley, New York, 1990.
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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) =(4^n)*binomial(2*n+9, 8)= A053125(n+8, 8).
G.f.(4*x+3)*(64*x^3+528*x^2+108*x+3)/(1-4*x)^9.
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CROSSREFS
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Cf. A053125, A054326.
Sequence in context: A020548 A091062 A015007 this_sequence A053973 A059492 A109061
Adjacent sequences: A054324 A054325 A054326 this_sequence A054328 A054329 A054330
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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