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Search: id:A075178
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| A075178 |
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Denominators of expansion of 1/x+1/ln(1-x). |
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+0
5
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| 2, 12, 12, 120, 20, 504, 168, 720, 180, 1320, 88, 65520, 10920, 5040, 720, 24480, 68, 28728, 3192, 39600, 27720, 182160, 1840, 1965600, 163800, 39312, 3024, 97440, 2320, 3437280, 229152, 3769920, 235620
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OFFSET
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0,1
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COMMENT
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The numerator sequence is |A006232(n+1)|, n>=0.
|A006232(n+1)|= numerator(r(n)), n>=1, with r(n) := sum(|stirling1(n,k)|*B(k+1)/(k+1),k=1..n), n>=1, and B(n): =A027641(n)/A027642(n) (Bernoulli numbers) and stirling1(n,m)=A008275(n,m), n>=m>=1; r(0) := 1/2.
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FORMULA
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Denominators from e.g.f. 1/x + 1/ln(1-x) (and of signed sequence from e.g.f. 1/x - 1/ln(1+x)).
a(n)=denominator(r(n)), n>=0, with rational r(n) defined in one of the comments.
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EXAMPLE
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r(n) sequence, n>=0: 1/2, 1/12, 1/12, 19/120, 9/20, 863/504, 1375/168, 33953/720, 57281/180,...
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CROSSREFS
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Cf. A006232, A075179, A006232 with A006233, A008275.
Sequence in context: A068515 A088240 A045895 this_sequence A145618 A140355 A007041
Adjacent sequences: A075175 A075176 A075177 this_sequence A075179 A075180 A075181
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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), Sep 06, 2002
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