|
| |
|
|
A054322
|
|
Fourth unsigned column of Lanczos triangle A053125 (decreasing powers).
|
|
2
| |
|
|
4, 80, 896, 7680, 56320, 372736, 2293760, 13369344, 74711040, 403701760, 2122317824, 10905190400, 54962159616, 272461987840, 1331439861760, 6425271074816, 30666066493440, 144929376436224, 678948430151680
(list; graph; refs; listen; history; internal format)
|
|
|
|
OFFSET
| 0,1
|
|
|
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.
|
|
|
LINKS
| Index entries for sequences related to Chebyshev polynomials.
|
|
|
FORMULA
| 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.
|
|
|
CROSSREFS
| Cf. A053125, A053123, A002700, A054329.
Sequence in context: A192790 A093854 A192834 * A114488 A055787 A132584
Adjacent sequences: A054319 A054320 A054321 * A054323 A054324 A054325
|
|
|
KEYWORD
| easy,nonn
|
|
|
AUTHOR
| Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)
|
| |
|
|