%I #15 Sep 18 2019 11:09:52
%S 2,2,6,26,182,1786,22870,359226,6658038,141860538,3411462102,
%T 91331548410,2692998369270,86698082609658,3025579919280726,
%U 113759391284411322,4584343174947333366,197110924461251852346,9006669123611196569046,435827319931153165710714
%N Shifts left under "DIJ" (bracelet, indistinct, labeled) transform, with a(1)=2.
%H Andrew Howroyd, <a href="/A032272/b032272.txt">Table of n, a(n) for n = 1..200</a>
%H C. G. Bower, <a href="/transforms2.html">Transforms (2)</a>
%t m = 20; A[_] = 0;
%t Do[A[x_] = Integrate[2 + (1/2)(A[x] + A[x]^2/2 - Log[1-A[x]]) + O[x]^m, x] // Normal, {m}];
%t CoefficientList[A[x], x] Range[0, m]! // Rest (* _Jean-François Alcover_, Sep 18 2019 *)
%o (PARI) DIJ(p)={(p + p^2/2 - log(1-p))/2}
%o seq(n)={my(p=O(x)); for(i=1, n, p=intformal(2+DIJ(p))); Vec(serlaplace(p))} \\ _Andrew Howroyd_, Sep 19 2018
%Y Cf. A032271, A032273.
%K nonn
%O 1,1
%A _Christian G. Bower_
%E Terms a(19) and beyond from _Andrew Howroyd_, Sep 19 2018