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A260535
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a(n) = (2*n+1)!*Sum_{k=0..n} B(2*k), B(n) the n-th Bernoulli number.
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0
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1, 7, 136, 5832, 407808, 47882880, 5893585920, 2763273139200, -1770980740300800, 6081299047511654400, -24479310471391641600000, 147692341217380307927040000, -1254349086918655739874508800000, 14641717268146696857494972006400000, -229475387530005564381034470860390400000
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OFFSET
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0,2
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COMMENTS
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It appears that for n > 6, a(n)*(-1)^n < 0. (This comment was inspired by an observation of Robert Israel in A061053.)
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LINKS
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MAPLE
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a := n -> (2*n+1)!*add(bernoulli(2*k), k=0..n): seq(a(n), n=0..30);
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MATHEMATICA
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Table[(2 n + 1)! Sum[BernoulliB[2 k], {k, 0, n}], {n, 0, 14}] (* Michael De Vlieger, Sep 21 2015 *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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STATUS
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approved
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