%I #9 Sep 21 2018 02:21:13
%S 1,0,1,1,1,2,2,3,3,5,5,8,10,16,21,37,51,86,127,211,319,523,796,1288,
%T 1988,3180,4928,7844,12212,19346,30222,47771,74823,118140,185431,
%U 292690,460287,726616,1144517,1807657,2851375,4506390,7117318
%N "DHK" (bracelet, identity, unlabeled) transform of 0,1,1,1,...
%H Andrew Howroyd, <a href="/A032244/b032244.txt">Table of n, a(n) for n = 0..500</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%o (PARI)
%o DHK(p,n)={my(q=((1+p)^2/(1-subst(p, x, x^2))-1)/2); p + (p^2-subst(p, x, x^2))/2 + sum(d=1, n, moebius(d)*(log(subst(1/(1+O(x*x^(n\d))-p), x, x^d))/d - subst(q + O(x*x^(n\d)), x, x^d)))/2}
%o seq(n)={Vec(1 + DHK(x^2/(1-x) + O(x*x^n), n))} \\ _Andrew Howroyd_, Sep 21 2018
%K nonn
%O 0,6
%A _Christian G. Bower_
%E a(0)=1 prepended by _Andrew Howroyd_, Sep 21 2018