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A107995 Chebyshev polynomial of the second kind U[n,x] evaluated at x=n+2. 0
1, 6, 63, 980, 20305, 526890, 16451071, 600940872, 25154396001, 1187422368110, 62418042417599, 3616337930622300, 228977061309711793, 15731733543660288210, 1165677769357309014015, 92665403695822344828176 (list; graph; refs; listen; history; text; internal format)
OFFSET

0,2

REFERENCES

Rosenblum and Rovnyak, Hardy Classes and Operator Theory,Dover, New York,1985, page 18

G. Szego, Orthogonal polynomials, Amer. Math. Soc., Providence, 1939, p. 29.

G. Freud, Orthogonal Polynomials, Pergamon Press, Oxford, 1966, p. 35.

LINKS

Table of n, a(n) for n=0..15.

EXAMPLE

a(3)=980 because U[3,x]=8x^3-4x and U[3,5]=8*5^3-4*5=980.

MAPLE

with(orthopoly): seq(U(n, n+2), n=0..17);

CROSSREFS

Sequence in context: A227278 A295267 A098342 * A166893 A213644 A280476

Adjacent sequences:  A107992 A107993 A107994 * A107996 A107997 A107998

KEYWORD

nonn

AUTHOR

Roger L. Bagula, Mar 01 2006

EXTENSIONS

Edited by N. J. A. Sloane, Apr 05 2006

STATUS

approved

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Last modified June 25 07:53 EDT 2019. Contains 324347 sequences. (Running on oeis4.)