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A164659
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Denominators of coefficients of integrated Chebyshev polynomials T(n,x) (in increasing order of powers of x).
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6
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1, 1, 2, 1, 1, 3, 1, 2, 1, 1, 1, 1, 3, 1, 5, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 5, 1, 7, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 3, 1, 1, 1, 7, 1, 9, 1, 2, 1, 1, 1, 1, 1, 1, 1, 5, 1, 1, 3, 1, 1, 1, 1, 1, 9, 1, 11, 1, 2, 1, 1, 1, 3, 1, 1, 1, 5, 1, 3, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 11, 1, 13, 1, 2, 1, 1, 1, 3, 1, 1, 1, 1, 1, 3, 1
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OFFSET
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0,3
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COMMENTS
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The numerators are given in A164658.
See the W. Lang link in A164658 for this table and the rational table A164658/A164659.
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LINKS
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Table of n, a(n) for n=0..103.
Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n,m) = denominator(b(n,m)), with int(T(n,x),x)= sum(b(n,m)*x^m,m=1..n+1), n>=0, where T(n,x) are Chebyshevs polynomials of the first kind.
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EXAMPLE
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Rational table A164658(n,m)/a(n,m) = [1], [0, 1/2], [-1, 0, 2/3], [0, -3/2, 0, 1], [1, 0, -8/3, 0, 8/5],...
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CROSSREFS
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Row sums of this triangle give A164663.
Row sums of rational triangle A164658/A164659 are given in A164660/A164661.
Sequence in context: A157128 A217667 A194086 * A057898 A094293 A036036
Adjacent sequences: A164656 A164657 A164658 * A164660 A164661 A164662
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KEYWORD
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nonn,frac,tabl,easy
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AUTHOR
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Wolfdieter Lang, Oct 16 2009
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STATUS
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approved
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