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Search: id:A097831
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| A097831 |
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Partial sums of Chebyshev sequence S(n,17)= U(n,17/2)=A078366(n). |
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+0
1
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| 1, 18, 306, 5185, 87840, 1488096, 25209793, 427078386, 7235122770, 122570008705, 2076455025216, 35177165419968, 595935357114241, 10095723905522130, 171031371036761970, 2897437583719431361, 49085407552193571168
(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, 17), k=0..n) with S(k, 17)=U(k, 17/2)=A078366(k) Chebyshev's polynomials of the second kind.
G.f.: 1/((1-x)*(1-17*x+x^2)) = 1/(1-18*x+18*x^2-x^3).
a(n)=18*a(n-1)-18*a(n-2)+a(n-3), n>=2, a(-1):=0, a(0)=1, a(1)=18.
a(n)=17*a(n-1)-a(n-2)+1, n>=1, a(-1):=0, a(0)=1.
a(n)=(S(n+1, 17) - S(n, 17) -1)/15.
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CROSSREFS
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Sequence in context: A113367 A161599 A083451 this_sequence A091045 A158532 A049660
Adjacent sequences: A097828 A097829 A097830 this_sequence A097832 A097833 A097834
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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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