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A009311
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E.g.f. log(1+log(1+tanh(x))).
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0
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0, 1, -2, 5, -19, 104, -706, 5662, -53082, 570600, -6897016, 92565296, -1366706848, 22016867248, -384226243584, 7220865546000, -145397565641296, 3122890640031488, -71266398589322368, 1722010388581604224
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=sum(m=1..n, ((-1)^(m-1)*m!*sum(r=m..n, (stirling1(r,m)*sum(k=r..n, binomial(k-1,r-1)*k!*2^(n-k)*stirling2(n,k)*(-1)^(r+k)))/r!))/m); [From Vladimir Kruchinin, Jun 21 2011]
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PROG
| (Maxima)
a(n):=sum(((-1)^(m-1)*m!*sum((stirling1(r, m)*sum(binomial(k-1, r-1)*k!*2^(n-k)*stirling2(n, k)*(-1)^(r+k), k, r, n))/r!, r, m, n))/m, m, 1, n); [From Vladimir Kruchinin, Jun 21 2011]
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CROSSREFS
| Sequence in context: A054687 A076669 A093502 * A107882 A192445 A089126
Adjacent sequences: A009308 A009309 A009310 * A009312 A009313 A009314
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KEYWORD
| sign,easy
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AUTHOR
| R. H. Hardin (rhhardin(AT)att.net)
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EXTENSIONS
| Extended with signs Mar 15 1997 by Olivier Gerard.
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