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A009343
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E.g.f. log(1+sin(x)/exp(x)).
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0
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0, 1, -3, 10, -50, 340, -2888, 29440, -350160, 4759760, -72787488, 1236761920, -23115758720, 471323145280, -10410977045888, 247656022739200, -6312036805140480, 171600628707334400, -4956751714926617088
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,3
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FORMULA
| a(n)=2*sum(k=1..n, sum(j=0..(n-k)/2, binomial(n,n-k-2*j)*(k^(n-k-2*j)*sum(i=0..k/2, (2*i-k)^(k+2*j)*binomial(k,i)*(-1)^(k+j-i))))/(2^k*k)). [From Vladimir Kruchinin, Jun 13 2011]
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PROG
| (Maxima)
a(n):=2*sum(sum(binomial(n, n-k-2*j)*(k^(n-k-2*j)*sum((2*i-k)^(k+2*j)*binomial(k, i)*(-1)^(k+j-i), i, 0, k/2)), j, 0, (n-k)/2)/(2^k*k), k, 1, n); [From Vladimir Kruchinin, Jun 13 2011]
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CROSSREFS
| Sequence in context: A102088 A088142 A049370 * A048175 A192482 A020132
Adjacent sequences: A009340 A009341 A009342 * A009344 A009345 A009346
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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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