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A009360
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Expansion of e.g.f. log(1+sinh(x)*x) (even powers only).
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2
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0, 2, -8, 126, -4248, 246250, -21819060, 2741961054, -463859694704, 101639490015186, -28002426109496940, 9474407274253732294, -3861976880978567739432, 1866672045348038810596026
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OFFSET
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0,2
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LINKS
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FORMULA
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a(n) = [x^(2*n)] log(1+sinh(x)*x)*(2*n)!.
a(n) ~ (-1)^(n+1)*(2*n)!/(n*r^(2*n)) where r is the zero of x*sin(x)-1 near 1.114157 (see A133866). (End)
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MAPLE
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S:= series(log(1+sinh(x)*x), x, 61):
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MATHEMATICA
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Log[ 1+Sinh[ x ]*x ] (* Even Part *)
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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