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A054328
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Tenth unsigned column of Lanczos triangle A053125 (decreasing powers).
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1
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10, 880, 32032, 732160, 12446720, 171991040, 2037432320, 21422145536, 204770508800, 1810602393600, 15002134118400, 117645194035200, 879986051383296, 6317848574033920, 43758103916707840, 293602761763717120
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,1
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REFERENCES
| 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
| Index entries for sequences related to Chebyshev polynomials.
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FORMULA
| a(n) =(4^n)*binomial(2*n+10, 9)= -A053125(n+9, 9) = 2* A054332(n).
G.f. 2*(1+40*x+80*x^2)*(5+40*x+16*x^2)/(1-4*x)^10.
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MATHEMATICA
| CoefficientList[Series[2(1+40x+80x^2)(5+40x+16x^2)/(1-4x)^10, {x, 0, 20}], x] (* From Harvey P. Dale, Feb 28 2011 *)
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CROSSREFS
| Cf. A053125, A054327, A054332.
Sequence in context: A203533 A015033 A126677 * A203590 A024137 A015008
Adjacent sequences: A054325 A054326 A054327 * A054329 A054330 A054331
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KEYWORD
| nonn,easy
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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