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A011859
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Normalized sequence of cumulants formed from moments in a quantum many-body problem at its critical point.
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2
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-1, 1, 4, 14, 16, -400, -5312, -33040, 134400, 7141632, 104530944, 438163968, -19703033856, -615381651456, -8122606469120, 54420468856832, 5822016615940096, 150504948558528512, 1126972987747336192, -72753308251479212032
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OFFSET
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1,3
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LINKS
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FORMULA
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a(n) = (-4)^n / (2 * Pi) * Integral_{x=-oo..oo} sech(x) * tanh^n(x) * (d^(n-1) / dx^(n-1)) tanh(x) dx. [Corrected and improved by Sean A. Irvine, Jul 02 2018]
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CROSSREFS
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KEYWORD
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sign
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AUTHOR
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Nick Witte (nsw(AT)allegro.ph.unimelb.EDU.AU)
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EXTENSIONS
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STATUS
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approved
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