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A009344
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Expansion of ln(1+sin(x)^2).
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2
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0, 2, -20, 512, -27680, 2565632, -363299840, 72957489152, -19722824192000, 6905862783107072, -3040352844189532160, 1643816046204280635392, -1070739118373698870968320, 827017799903621162951770112
(list; graph; refs; listen; history; internal format)
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OFFSET
| 0,2
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MATHEMATICA
| Log[ 1+Sin[ x ]^2 ] (* Even Part *)
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PROG
| (Maxixa)
b(n):=sum(((-1)^(k-1)*((-1)^(n-2*k)+1)*sum((2*i-2*k)^n*binomial(2*k, i)*(-1)^((n+2*k)/2-i), i, 0, k))/(k*2^(2*k)), k, 1, n/2);
a(n)=b(2*n); [From Vladimir Kruchinin, Jun 28 2011]
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CROSSREFS
| Sequence in context: A012340 A168136 A103353 * A009699 A101927 A157317
Adjacent sequences: A009341 A009342 A009343 * A009345 A009346 A009347
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KEYWORD
| sign
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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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