%I #9 Sep 24 2017 04:27:42

%S 1,1,1,2,3,4,6,9,14,21,32,49,74,113,172,262,399,607,925,1409,2146,

%T 3269,4979,7584,11552,17596,26803,40826,62187,94725,144287,219782,

%U 334776,509939,776752,1183167,1802230,2745201,4181558,6369454,9702111,14778499,22510979,34289286,52230301,79558503

%N Expansion of 1/(1 - x - x^3/(1 - x^5 - x^7/(1 - x^9 - x^11/(1 - x^13 - x^15/(1 - ...))))), a continued fraction.

%H Vaclav Kotesovec, <a href="/A292800/b292800.txt">Table of n, a(n) for n = 0..1000</a>

%F a(n) ~ c * d^n, where d = 1.523225094265657459818421502249017511338863636291677936060889201502867407829... and c = 0.47457266943464547141454496057039844482970984208404015222172896259335... - _Vaclav Kotesovec_, Sep 24 2017

%t nmax = 45; CoefficientList[Series[1/(1 - x + ContinuedFractionK[-x^(4 k - 1), 1 - x^(4 k + 1), {k, 1, nmax}]), {x, 0, nmax}], x]

%Y Cf. A088352, A292802.

%K nonn

%O 0,4

%A _Ilya Gutkovskiy_, Sep 23 2017