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 A009567 Expansion of e.g.f.: sinh(log(1 + sin(x))). 3
 0, 1, -1, 2, -8, 31, -136, 692, -3968, 25261, -176896, 1351382, -11184128, 99680491, -951878656, 9695756072, -104932671488, 1202439837721, -14544442556416, 185185594118762, -2475749026562048, 34674437196568951 (list; graph; refs; listen; history; text; internal format)
 OFFSET 0,4 COMMENTS |a(n)| = number of odd alternating permutations on n letters (offset 1). - Vladeta Jovovic, May 20 2007 LINKS G. C. Greubel, Table of n, a(n) for n = 0..450 FORMULA a(2*n) = A000182(n+1)/2. a(2*n+1) = A012007(n+1) - 1. MATHEMATICA With[{nn=30}, CoefficientList[Series[Sinh[Log[1+Sin[x]]], {x, 0, nn}], x] Range[ 0, nn]!] (* Harvey P. Dale, May 11 2014 *) PROG (PARI) x='x+O('x^30); concat([0], Vec(serlaplace(sinh(log(1+sin(x)))))) \\ G. C. Greubel, Jan 21 2018 CROSSREFS Cf. A000111, A009123. Sequence in context: A150816 A150817 A150818 * A150819 A003175 A129427 Adjacent sequences:  A009564 A009565 A009566 * A009568 A009569 A009570 KEYWORD sign,easy AUTHOR EXTENSIONS Extended with signs by Olivier Gérard, Mar 15 1997 Definition clarified and previous Mathematica program replaced by Harvey P. Dale, May 11 2014 STATUS approved

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Last modified October 23 22:36 EDT 2019. Contains 328377 sequences. (Running on oeis4.)