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A009567
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Expansion of e.g.f.: sinh(log(1 + sin(x))).
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3
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0, 1, -1, 2, -8, 31, -136, 692, -3968, 25261, -176896, 1351382, -11184128, 99680491, -951878656, 9695756072, -104932671488, 1202439837721, -14544442556416, 185185594118762, -2475749026562048, 34674437196568951
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OFFSET
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0,4
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COMMENTS
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|a(n)| = number of odd alternating permutations on n letters (offset 1). - Vladeta Jovovic, May 20 2007
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LINKS
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FORMULA
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MATHEMATICA
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With[{nn=30}, CoefficientList[Series[Sinh[Log[1+Sin[x]]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, May 11 2014 *)
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PROG
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(PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+sin(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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Definition clarified and previous Mathematica program replaced by Harvey P. Dale, May 11 2014
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STATUS
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approved
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