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A054331
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One eighth of eighth unsigned column of Lanczos' triangle A053125.
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1
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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; refs; listen; history; internal format)
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OFFSET
| 0,2
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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+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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MATHEMATICA
| Table[4^n Binomial[2n+8, 7]/8, {n, 0, 20}] (* From Harvey P. Dale, Nov 03 2011 *)
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CROSSREFS
| Cf. A054326, A053125.
Sequence in context: A056346 A105252 A146347 * A160349 A053528 A017776
Adjacent sequences: A054328 A054329 A054330 * A054332 A054333 A054334
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KEYWORD
| easy,nice,nonn,tabl
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AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
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