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Search: id:A054331
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| A054331 |
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One eighth of eighth unsigned column of Lanczos' triangle A053125. |
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+0
2
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| 1, 60, 1584, 27456, 366080, 4073472, 39690240, 349274112, 2835283968, 21554790400, 155194490880, 1067345510400, 7058711642112, 45127489814528, 280101660917760, 1693862087098368, 10009185060126720, 57935518230380544
(list; table; 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)*binomial(2*n+8, 7)/8 = -A053125(n+7, 7)/8 = A054326(n)/8.
G.f. (1+4*x)*(1+24*x+16*x^2)/(1-4*x)^8.
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CROSSREFS
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Cf. A054326, A053125.
Sequence in context: A056352 A056346 A105252 this_sequence A053528 A017776 A035725
Adjacent sequences: A054328 A054329 A054330 this_sequence A054332 A054333 A054334
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KEYWORD
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easy,nice,nonn,tabl
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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