%I A032095
%S A032095 1,1,2,10,32,126,452,1716,6400,24310,92252,352716,1351616,5200300,
%T A032095 20056584,77558760,300533760,1166803110,4537543340,17672631900,
%U A032095 68923172032,269128937220,1052049129144,4116715363800
%N A032095 Number of reversible strings with n-1 black beads and n-1 white beads. 
               String is not palindromic.
%H A032095 C. G. Bower, <a href="transforms2.html">Transforms (2)</a>
%F A032095 "BHK[ n ](2n-1)" (reversible, identity, unlabeled, n parts, 2n-1 elements) 
               transform of 1, 1, 1, 1...
%F A032095 for n>1 a(n)=(1/2)*C(2n-2, n-1) if n is even, a(n)=(1/2)[C(2n-2, n-1)-C(n-1, 
               (n-1)/2)] if n is odd. (Emeric Deutsch (deutsch(AT)duke.poly.edu) 
               Jul 25 2002)
%F A032095 E.g.f. : 1+exp(x)*sinh(x)*BesselI(0,2x). [From Paul Barry (pbarry(AT)wit.ie), 
               Aug 11 2009]
%Y A032095 Central column of triangle A034877.
%Y A032095 Sequence in context: A034555 A084154 A083099 this_sequence A151019 A004028 
               A080668
%Y A032095 Adjacent sequences: A032092 A032093 A032094 this_sequence A032096 A032097 
               A032098
%K A032095 nonn
%O A032095 1,3
%A A032095 Christian G. Bower (bowerc(AT)usa.net)