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A009566
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Expansion of e.g.f. sinh(log(1+log(1+x))).
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2
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0, 1, -2, 8, -47, 359, -3349, 36756, -462972, 6574704, -103861896, 1805930928, -34267701720, 704555489832, -15601914340440, 370195510608192, -9369769657984128, 251979258929744448, -7175127496412091456
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OFFSET
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0,3
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LINKS
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FORMULA
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a(n) ~ n! * (-1)^(n+1) * exp(n) / (2 * (exp(1)-1)^(n+1)). - Vaclav Kotesovec, Jan 23 2015
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MATHEMATICA
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CoefficientList[Series[(Log[1 + x]*(2 + Log[1 + x]))/(2*(1 + Log[1 + x]) ), {x, 0, 20}], x] * Range[0, 20]! (* Vaclav Kotesovec, Jan 23 2015 *)
With[{nmax = 50}, CoefficientList[Series[Sinh[Log[1 + Log[1 + x]]], {x, 0, nmax}], x]*Range[0, nmax]!] (* G. C. Greubel, Jan 21 2018 *)
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PROG
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(PARI) my(x='x+O('x^30)); concat([0], Vec(serlaplace(sinh(log(1+log(1+x)))))) \\ G. C. Greubel, Jan 21 2018
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CROSSREFS
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KEYWORD
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sign,easy
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AUTHOR
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EXTENSIONS
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STATUS
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approved
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