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A054332 One half of tenth unsigned column of Lanczos triangle A053125 (decreasing powers). +0
2
5, 440, 16016, 366080, 6223360, 85995520, 1018716160, 10711072768, 102385254400, 905301196800, 7501067059200, 58822597017600, 439993025691648, 3158924287016960, 21879051958353920, 146801380881858560 (list; graph; listen)
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+10, 9)/2 = -A053125(n+9, 9)/2 = A054328(n)/2.

G.f.: (1+40*x+80*x^2)*(5+40*x+16*x^2)/(1-4*x)^10.

CROSSREFS

Cf. A053125, A054328.

Sequence in context: A075769 A046274 A038003 this_sequence A055305 A060855 A125534

Adjacent sequences: A054329 A054330 A054331 this_sequence A054333 A054334 A054335

KEYWORD

easy,nonn

AUTHOR

Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de)

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Last modified September 6 16:04 EDT 2008. Contains 143483 sequences.


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