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A176327
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Numerators of the rational sequence with e.g.f. (x/2)*(1+exp(-x))/(1-exp(-x)).
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6
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1, 0, 1, 0, -1, 0, 1, 0, -1, 0, 5, 0, -691, 0, 7, 0, -3617, 0, 43867, 0, -174611, 0, 854513, 0, -236364091, 0, 8553103, 0, -23749461029, 0, 8615841276005, 0, -7709321041217, 0, 2577687858367, 0, -26315271553053477373, 0, 2929993913841559, 0, -261082718496449122051
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OFFSET
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0,11
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COMMENTS
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Numerator of the Bernoulli number B_n, except B(1)=0.
A027641 is the main entry for this sequence, which is only a minor variation. - N. J. A. Sloane, Nov 29 2010.
This could formally be defined by building the arithmetic mean of the numerators in A164555(n) and A027641(n).
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LINKS
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Table of n, a(n) for n=0..40.
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FORMULA
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a(2n+1) = 0. a(2n ) = A000367(n).
a(n) = A164555(n) = A027641(n) if n <>1.
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MAPLE
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seq(numer((bernoulli(i, 0)+bernoulli(i, 1))/2), i=0..40); # Peter Luschny, June 17 2012
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CROSSREFS
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Cf. A176289 (denominators), A027642, A141056, A164020, A165823
Sequence in context: A036946 A027641 A164555 * A226156 A215616 A129205
Adjacent sequences: A176324 A176325 A176326 * A176328 A176329 A176330
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KEYWORD
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sign
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AUTHOR
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Paul Curtz, Apr 15 2010
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EXTENSIONS
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New name from Peter Luschny, June 18 2012
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STATUS
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approved
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