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A111876
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Denominator of sum{k=0..n, 1/((k+1)(2k+1))}.
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2
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1, 6, 30, 420, 1260, 13860, 180180, 72072, 1225224, 116396280, 116396280, 2677114440, 13385572200, 5736673800, 166363540200, 10314539492400, 10314539492400, 72201776446800, 2671465728531600, 2671465728531600
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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COMMENTS
| Denominator of digamma(n+3/2)-digamma(n+2)+2ln(2). Numerator is A082687.
sum{k=0..n, 1/((k+1)(2k+1))}=2*(n+1)*int(x^n*ln(1+sqrt(x)),x=0..1)
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FORMULA
| a(n)=lcm(1..2n+2)/2; - Paul Barry (pbarry(AT)wit.ie), Jul 03 2006
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CROSSREFS
| Sequence in context: A205339 A110374 A201135 * A119634 A075591 A130075
Adjacent sequences: A111873 A111874 A111875 * A111877 A111878 A111879
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KEYWORD
| easy,nonn,frac
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AUTHOR
| Paul Barry (pbarry(AT)wit.ie), Aug 19 2005
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