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Search: id:A097829
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| A097829 |
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Partial sums of Chebyshev sequence S(n,15)= U(n,15/2)=A078364(n). |
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+0
3
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| 1, 16, 240, 3585, 53536, 799456, 11938305, 178275120, 2662188496, 39754552321, 593656096320, 8865086892480, 132382647290881, 1976874622470736, 29520736689770160, 440834175724081665, 6582991899171454816
(list; graph; listen)
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OFFSET
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0,2
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LINKS
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Index entries for sequences relate d to Chebyshev polynomials.
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FORMULA
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a(n)= sum(S(k, 15), k=0..n) with S(k, 15)=U(k, 15/2)=A078364(k) Chebyshev's polynomials of the second kind.
G.f.: 1/((1-x)*(1-15*x+x^2)) = 1/(1-16*x+16*x^2-x^3).
a(n)=16*a(n-1)-16*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=16.
a(n)=15*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.
a(n)=(S(n+1, 15) - S(n, 15) -1)/13.
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CROSSREFS
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Sequence in context: A161591 A103975 A060198 this_sequence A010559 A063814 A058667
Adjacent sequences: A097826 A097827 A097828 this_sequence A097830 A097831 A097832
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KEYWORD
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nonn,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang_AT_physik_DOT_uni-karlsruhe_DOT_de), Aug 31 2004
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