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A009468
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Expansion of sin(log(1+x)^2).
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2
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0, 0, 2, -6, 22, -100, 428, -1008, -12504, 325152, -5509368, 85326120, -1301444520, 20069047440, -316157970000, 5106165734880, -84530527771200, 1430269752307200, -24598613333889120, 426082994004863520, -7316749927773684000
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OFFSET
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0,3
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LINKS
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Table of n, a(n) for n=0..20.
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FORMULA
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a(n) = sum(k=0..(n-1)/2, ((-1)^k*(4*k+2)!*stirling1(n,4*k+2))/(2*k+1)!). - Vladimir Kruchinin, Jun 28 2011
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EXAMPLE
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sin(log(x+1)^2) = 2/2!*x^2-6/3!*x^3+22/4!*x^4-100/5!*x^5...
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MATHEMATICA
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Sin[ Log[ 1+x ]^2 ]
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PROG
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(Maxima)
a(n):=sum(((-1)^k*(4*k+2)!*stirling1(n, 4*k+2))/(2*k+1)!, k, 0, ((n-1)/2)); /* Vladimir Kruchinin, Jun 28 2011 */
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CROSSREFS
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Sequence in context: A009789 A012271 A012266 * A088819 A177478 A052517
Adjacent sequences: A009465 A009466 A009467 * A009469 A009470 A009471
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KEYWORD
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sign,easy
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AUTHOR
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R. H. Hardin
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EXTENSIONS
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Extended with signs by Olivier Gérard, Mar 15 1997
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STATUS
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approved
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