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Search: id:A164661
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| A164661 |
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Denominators of row sums of triangle of rationals A164658/A164659. Definite integral of Chebyshev's polynomials of the first kind: int(T(n,x),x=0..1). |
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6
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| 1, 2, 3, 2, 15, 6, 35, 6, 63, 10, 99, 10, 143, 14, 195, 14, 255, 18, 323, 18, 399, 22, 483, 22, 575, 26, 675, 26, 783, 30, 899, 30, 1023, 34, 1155, 34, 1295, 38, 1443, 38, 1599, 42, 1763, 42, 1935, 46, 2115, 46, 2303, 50, 2499, 50, 2703, 54, 2915, 54, 3135, 58, 3363, 58, 3599
(list; graph; listen)
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OFFSET
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0,2
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COMMENT
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The numerators are given in A164660.
See the W. Lang link under A164660 for a list of the first rationals.
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LINKS
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Index entries for sequences related to Chebyshev polynomials.
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FORMULA
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a(n)= denominator(sum(IT(n,m),m=1..n+1)), n>=0, with IT(n,m):= A164658(n,m)/A164659(n,m) (coefficient triangle from the indefinite integral int(T(n,x),x), n>=0, in lowest terms).
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EXAMPLE
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Rationals A164660(n)/a(n) = [1, 1/2, -1/3, -1/2, -1/15, 1/6, -1/35, -1/6, -1/63, 1/10, -1/99,...].
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CROSSREFS
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Sequence in context: A083775 A083784 A160819 this_sequence A104507 A101033 A136454
Adjacent sequences: A164658 A164659 A164660 this_sequence A164662 A164663 A164664
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KEYWORD
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nonn,easy,frac,new
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang@physik.uni-karlsruhe.de) Oct 16 2009
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EXTENSIONS
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In line %e replaced a(n)/A164660(n) by A164660(n)/a(n) Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de), Dec 02 2009
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