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A097828 Partial sums of Chebyshev sequence S(n,13)= U(n,13/2)=A078362(n). 3
1, 14, 182, 2353, 30408, 392952, 5077969, 65620646, 847990430, 10958254945, 141609323856, 1829962955184, 23647909093537, 305592855260798, 3949059209296838, 51032176865598097, 659469240043478424 (list; graph; refs; listen; history; internal format)
OFFSET

0,2

LINKS

Index entries for sequences relate d to Chebyshev polynomials.

FORMULA

a(n)= sum(S(k, 13), k=0..n) with S(k, 13)=U(k, 13/2)=A078362(k) Chebyshev's polynomials of the second kind.

G.f.: 1/((1-x)*(1-13*x+x^2)) = 1/(1-14*x+14*x^2-x^3).

a(n)=14*a(n-1)-14*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=14.

a(n)=13*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.

a(n)=(S(n+1, 13) - S(n, 13) -1)/11.

CROSSREFS

Sequence in context: A163416 A162783 A199942 * A030008 A163090 A163439

Adjacent sequences:  A097825 A097826 A097827 * A097829 A097830 A097831

KEYWORD

nonn,easy

AUTHOR

Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 31 2004

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Last modified February 14 10:13 EST 2012. Contains 205614 sequences.