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Search: id:A054330
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| A054330 |
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One half of sixth unsigned column of Lanczos' triangle A053125. |
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+0
2
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| 3, 112, 2016, 25344, 256256, 2236416, 17547264, 127008768, 862912512, 5571084288, 34487664640, 206108098560, 1195426971648, 6757057298432, 37346888122368, 202396038856704, 1077912237244416, 5652245681012736
(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+6, 5)/2 = -A053125(n+5, 5)/2 = A054324(n)/2.
G.f.: (4*x+3)*(12*x+1)/(1-4*x)^6.
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CROSSREFS
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Cf. A054324, A053125.
Adjacent sequences: A054327 A054328 A054329 this_sequence A054331 A054332 A054333
Sequence in context: A114207 A128684 A037116 this_sequence A024043 A075051 A139929
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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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