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Search: id:A145556
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| A145556 |
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Denominators of partial sums of the alternating series of inverse central binomial coefficients. |
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+0
4
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| 2, 3, 60, 84, 126, 2772, 72072, 360360, 1225224, 23279256, 11639628, 503217, 13385572200, 2007835830, 465817912560, 2888071057872, 627841534320, 2489716429200, 534293145706320, 18423901576080, 4381203794791824, 941958815880242160, 261655226633400600
(list; graph; listen)
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OFFSET
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1,1
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COMMENT
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See A145375 for the numerators, references and a W. Lang link.
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FORMULA
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a(n)=denominator(r(n)), with the rationals (in lowest terms) r(n):=sum(((-1)^(k+1))/binomial(2*k,k),k=1..n).
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EXAMPLE
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Rationals r(n) (in lowest terms): [1/2,1/3,23/60,31/84,47/126,1031/2772,26827/72072,...].
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CROSSREFS
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A145557/A145558.
Sequence in context: A152657 A154253 A097961 this_sequence A124083 A112098 A144545
Adjacent sequences: A145553 A145554 A145555 this_sequence A145557 A145558 A145559
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KEYWORD
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nonn,frac,easy
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AUTHOR
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Wolfdieter Lang (wolfdieter.lang(AT)physik.uni-karlsruhe.de) Oct 17 2008, Nov 17 2008, Nov 25 2008
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