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A294965
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Denominators of the partial sums of the reciprocals of the numbers (k + 1)*(6*k + 5) = A049452(k+1).
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3
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5, 110, 5610, 258060, 1496748, 17462060, 715944460, 67298779240, 32101517697480, 378797908830264, 24621864073967160, 1748152349251668360, 1748152349251668360, 145096644987888473880, 2582720280784414835064, 490716853349038818662160, 49562402188252920684878160
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OFFSET
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0,1
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COMMENTS
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The corresponding numerators are given in A294964. There details are found.
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LINKS
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FORMULA
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a(n) = denominator(V(6,5;n)) with V(6,5;n) = Sum_{k=0..n} 1/((k + 1)*(6*k + 5)) = Sum_{k=0..n} 1/A049452(k+1) = Sum_{k=0..n} (1/(k + 5/6) - 1/(k + 1)).
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EXAMPLE
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For the rationals V(6,5;n) see A294964.
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MAPLE
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map(denom, ListTools:-PartialSums([seq(1/(k+1)/(6*k+5), k=0..20)])); # Robert Israel, Nov 29 2017
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PROG
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(PARI) a(n) = denominator(sum(k=0, n, 1/((k + 1)*(6*k + 5)))); \\ Michel Marcus, Nov 27 2017
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CROSSREFS
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KEYWORD
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nonn,frac,easy
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AUTHOR
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STATUS
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approved
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