%I
%S 1,3,5,9,18,36,72,144,288,576,1152,2304,4608,9216,18432,36864,73728,
%T 147456,294911,589818,1179628,2359242,4718457,9436860,18873612,
%U 37747008,75493584,150986304,301970880,603938304,1207869696,2415725568,4831423488,9662791680
%N Coefficients of 1/(Sum_{k>=0} [(k+1)*r](x)^k), where r = sqrt[7/3] and [ ] = floor.
%C Conjecture: the sequence is strictly increasing.
%F G.f.: 1/(Sum_{k>=0} [(k+1)*r)](x)^k), where r = sqrt(7/3) and [ ] = floor.
%t r = Sqrt[7/3];
%t u = 1000; (* # initial terms from given series *)
%t v = 100; (* # coefficients in reciprocal series *)
%t CoefficientList[Series[1/Sum[Floor[r*(k + 1)] (x)^k, {k, 0, u}], {x, 0, v}], x]
%Y Cf. A078140 (includes guide to related sequences).
%K nonn,easy
%O 0,2
%A _Clark Kimberling_, Jul 10 2017
