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Search: id:A054322
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| A054322 |
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Fourth unsigned column of Lanczos triangle A053125 (decreasing powers). |
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+0
3
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| 4, 80, 896, 7680, 56320, 372736, 2293760, 13369344, 74711040, 403701760, 2122317824, 10905190400, 54962159616, 272461987840, 1331439861760, 6425271074816, 30666066493440, 144929376436224, 678948430151680
(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+4, 3)= -A053125(n+3, 3)= 4*A054329(n)
G.f.: 4*(1+4*x)/(1-4*x)^4.
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CROSSREFS
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Cf. A053125, A053123, A002700, A054329.
Sequence in context: A018807 A125710 A093854 this_sequence A114488 A055787 A132584
Adjacent sequences: A054319 A054320 A054321 this_sequence A054323 A054324 A054325
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KEYWORD
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easy,nonn
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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