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Search: id:A054329
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| A054329 |
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One quarter of fourth unsigned column of Lanczos' triangle A053125. |
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+0
2
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| 1, 20, 224, 1920, 14080, 93184, 573440, 3342336, 18677760, 100925440, 530579456, 2726297600, 13740539904, 68115496960, 332859965440, 1606317768704, 7666516623360, 36232344109056, 169737107537920, 788899592929280
(list; graph; listen)
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OFFSET
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0,2
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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-1))*binomial(2*n+4, 3)= -A053125(n+3, 3)/4 = A054322(n)/4.
G.f.(1+4*x)/(1-4*x)^4.
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CROSSREFS
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Cf. A054322, A053125.
Sequence in context: A140354 A155673 A000833 this_sequence A112503 A007160 A023018
Adjacent sequences: A054326 A054327 A054328 this_sequence A054330 A054331 A054332
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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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