%I A009567
%S A009567 0,1,1,2,8,31,136,692,3968,25261,176896,1351382,11184128,99680491,
%T A009567 951878656,9695756072,104932671488,1202439837721,14544442556416,
%U A009567 185185594118762,2475749026562048,34674437196568951
%V A009567 0,1,-1,2,-8,31,-136,692,-3968,25261,-176896,1351382,-11184128,99680491,
%W A009567 -951878656,9695756072,-104932671488,1202439837721,-14544442556416,
%X A009567 185185594118762,-2475749026562048,34674437196568951
%N A009567 Expansion of sinh(ln(1+sin(x))).
%C A009567 a(2n) = 1/2*A000182(n+1), a(2n+1) = A012007(n+1)-1. Cf. A009123.
%C A009567 |a(n)| = number of odd alternating permutations on n letters (offset 
               1). - Vladeta Jovovic (vladeta(AT)eunet.rs), May 20 2007
%t A009567 Sinh[ Log[ 1+Sin[ x ] ] ]
%Y A009567 Cf. A000111.
%Y A009567 Sequence in context: A150816 A150817 A150818 this_sequence A150819 A003175 
               A129427
%Y A009567 Adjacent sequences: A009564 A009565 A009566 this_sequence A009568 A009569 
               A009570
%K A009567 sign,easy
%O A009567 0,4
%A A009567 R. H. Hardin (rhhardin(AT)att.net)
%E A009567 Extended with signs Mar 15 1997 by Olivier Gerard.