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A009113
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Expansion of e.g.f. cos(x)/exp(sinh(x)).
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2
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1, -1, 0, 1, 0, 3, -24, 61, -256, 1383, -5632, 28345, -156032, 808299, -4761600, 28955317, -178225152, 1188919631, -8081772544, 56978370417, -422364381184, 3196912985683, -25184814366720, 205147130407981, -1713906141986816
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OFFSET
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0,6
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LINKS
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G. C. Greubel, Table of n, a(n) for n = 0..250
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MATHEMATICA
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With[{nmax = 30}, CoefficientList[Series[Cos[x]/Exp[Sinh[x]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jul 26 2018 *)
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PROG
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(PARI) x='x+O('x^30); Vec(serlaplace(cos(x)/exp(sinh(x)))) \\ G. C. Greubel, Jul 26 2018
(Magma) m:=30; R<x>:=PowerSeriesRing(Rationals(), m); b:=Coefficients(R!(Cos(x)/Exp(Sinh(x)))); [Factorial(n-1)*b[n]: n in [1..m]]; // G. C. Greubel, Jul 26 2018
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CROSSREFS
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Sequence in context: A296273 A101008 A070734 * A152751 A162654 A092468
Adjacent sequences: A009110 A009111 A009112 * A009114 A009115 A009116
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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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